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Finding the Fourth Proportional to 3,098.59, 4,647.35 and 906.80

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Solution

The fourth proportional to 3,098.59, 4,647.35 and 906.80 is: 1,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.59 : 4,647.35 = 906.80 : x
  2. Step 2: Convert to fraction form
    3,098.59/4,647.35 = 906.80/x
  3. Step 3: Cross multiply
    3,098.59x = 4,647.35 × 906.80
  4. Step 4: Simplify right side
    3,098.59x = 4,214,196.01
  5. Step 5: Solve for x
    x = 4,214,196.01/3,098.59
  6. Step 6: Final answer
    x = 1,360.04

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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.