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Finding the Fourth Proportional to 3,046.76, 4,204.51 and 1,649.50

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Solution

The fourth proportional to 3,046.76, 4,204.51 and 1,649.50 is: 2,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.76 : 4,204.51 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    3,046.76/4,204.51 = 1,649.50/x
  3. Step 3: Cross multiply
    3,046.76x = 4,204.51 × 1,649.50
  4. Step 4: Simplify right side
    3,046.76x = 6,935,339.25
  5. Step 5: Solve for x
    x = 6,935,339.25/3,046.76
  6. Step 6: Final answer
    x = 2,276.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.