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Finding the Fourth Proportional to 3,098.17, 4,646.76 and 906.43

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Solution

The fourth proportional to 3,098.17, 4,646.76 and 906.43 is: 1,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.17 : 4,646.76 = 906.43 : x
  2. Step 2: Convert to fraction form
    3,098.17/4,646.76 = 906.43/x
  3. Step 3: Cross multiply
    3,098.17x = 4,646.76 × 906.43
  4. Step 4: Simplify right side
    3,098.17x = 4,211,962.67
  5. Step 5: Solve for x
    x = 4,211,962.67/3,098.17
  6. Step 6: Final answer
    x = 1,359.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,099.17, 4,648.26 and 907.43
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.