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Finding the Fourth Proportional to 15,147, 20,902.86 and 8,523

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Solution

The fourth proportional to 15,147, 20,902.86 and 8,523 is: 11,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 20,902.86 = 8,523 : x
  2. Step 2: Convert to fraction form
    15,147/20,902.86 = 8,523/x
  3. Step 3: Cross multiply
    15,147x = 20,902.86 × 8,523
  4. Step 4: Simplify right side
    15,147x = 178,155,075.78
  5. Step 5: Solve for x
    x = 178,155,075.78/15,147
  6. Step 6: Final answer
    x = 11,761.74

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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.