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Finding the Fourth Proportional to 15,587.12, 23,385 and 8,666.48

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Solution

The fourth proportional to 15,587.12, 23,385 and 8,666.48 is: 13,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587.12 : 23,385 = 8,666.48 : x
  2. Step 2: Convert to fraction form
    15,587.12/23,385 = 8,666.48/x
  3. Step 3: Cross multiply
    15,587.12x = 23,385 × 8,666.48
  4. Step 4: Simplify right side
    15,587.12x = 202,665,634.80
  5. Step 5: Solve for x
    x = 202,665,634.80/15,587.12
  6. Step 6: Final answer
    x = 13,002.12

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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.