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Finding the Fourth Proportional to 2,577.92, 3,866.91 and 630.14

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Solution

The fourth proportional to 2,577.92, 3,866.91 and 630.14 is: 945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.92 : 3,866.91 = 630.14 : x
  2. Step 2: Convert to fraction form
    2,577.92/3,866.91 = 630.14/x
  3. Step 3: Cross multiply
    2,577.92x = 3,866.91 × 630.14
  4. Step 4: Simplify right side
    2,577.92x = 2,436,694.67
  5. Step 5: Solve for x
    x = 2,436,694.67/2,577.92
  6. Step 6: Final answer
    x = 945.22

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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.