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Finding the Fourth Proportional to 2,565.92, 3,540.98 and 1,387.00

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Solution

The fourth proportional to 2,565.92, 3,540.98 and 1,387.00 is: 1,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.92 : 3,540.98 = 1,387.00 : x
  2. Step 2: Convert to fraction form
    2,565.92/3,540.98 = 1,387.00/x
  3. Step 3: Cross multiply
    2,565.92x = 3,540.98 × 1,387.00
  4. Step 4: Simplify right side
    2,565.92x = 4,911,347.15
  5. Step 5: Solve for x
    x = 4,911,347.15/2,565.92
  6. Step 6: Final answer
    x = 1,914.07

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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.