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Finding the Fourth Proportional to 4,887.71, 7,331.91 and 1,966.03

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Solution

The fourth proportional to 4,887.71, 7,331.91 and 1,966.03 is: 2,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.71 : 7,331.91 = 1,966.03 : x
  2. Step 2: Convert to fraction form
    4,887.71/7,331.91 = 1,966.03/x
  3. Step 3: Cross multiply
    4,887.71x = 7,331.91 × 1,966.03
  4. Step 4: Simplify right side
    4,887.71x = 14,414,755.02
  5. Step 5: Solve for x
    x = 14,414,755.02/4,887.71
  6. Step 6: Final answer
    x = 2,949.18

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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.