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Finding the Fourth Proportional to 2,404.71, 3,607.70 and 761.28

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Solution

The fourth proportional to 2,404.71, 3,607.70 and 761.28 is: 1,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.71 : 3,607.70 = 761.28 : x
  2. Step 2: Convert to fraction form
    2,404.71/3,607.70 = 761.28/x
  3. Step 3: Cross multiply
    2,404.71x = 3,607.70 × 761.28
  4. Step 4: Simplify right side
    2,404.71x = 2,746,466.05
  5. Step 5: Solve for x
    x = 2,746,466.05/2,404.71
  6. Step 6: Final answer
    x = 1,142.12

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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.