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Finding the Fourth Proportional to 15,315, 21,134.72 and 8,691

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Solution

The fourth proportional to 15,315, 21,134.72 and 8,691 is: 11,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315 : 21,134.72 = 8,691 : x
  2. Step 2: Convert to fraction form
    15,315/21,134.72 = 8,691/x
  3. Step 3: Cross multiply
    15,315x = 21,134.72 × 8,691
  4. Step 4: Simplify right side
    15,315x = 183,681,851.52
  5. Step 5: Solve for x
    x = 183,681,851.52/15,315
  6. Step 6: Final answer
    x = 11,993.59

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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.