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Finding the Fourth Proportional to 8,681, 13,023.71 and 2,525

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Solution

The fourth proportional to 8,681, 13,023.71 and 2,525 is: 3,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681 : 13,023.71 = 2,525 : x
  2. Step 2: Convert to fraction form
    8,681/13,023.71 = 2,525/x
  3. Step 3: Cross multiply
    8,681x = 13,023.71 × 2,525
  4. Step 4: Simplify right side
    8,681x = 32,884,867.75
  5. Step 5: Solve for x
    x = 32,884,867.75/8,681
  6. Step 6: Final answer
    x = 3,788.14

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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.