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Finding the Fourth Proportional to 2,617.71, 3,925.54 and 862.64

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Solution

The fourth proportional to 2,617.71, 3,925.54 and 862.64 is: 1,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.71 : 3,925.54 = 862.64 : x
  2. Step 2: Convert to fraction form
    2,617.71/3,925.54 = 862.64/x
  3. Step 3: Cross multiply
    2,617.71x = 3,925.54 × 862.64
  4. Step 4: Simplify right side
    2,617.71x = 3,386,327.83
  5. Step 5: Solve for x
    x = 3,386,327.83/2,617.71
  6. Step 6: Final answer
    x = 1,293.62

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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.