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Finding the Fourth Proportional to 15,691, 21,652.18 and 8,975.52

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Solution

The fourth proportional to 15,691, 21,652.18 and 8,975.52 is: 12,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691 : 21,652.18 = 8,975.52 : x
  2. Step 2: Convert to fraction form
    15,691/21,652.18 = 8,975.52/x
  3. Step 3: Cross multiply
    15,691x = 21,652.18 × 8,975.52
  4. Step 4: Simplify right side
    15,691x = 194,339,574.63
  5. Step 5: Solve for x
    x = 194,339,574.63/15,691
  6. Step 6: Final answer
    x = 12,385.42

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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.