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Finding the Fourth Proportional to 10,201.52, 15,315.24 and 8,672.24

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Solution

The fourth proportional to 10,201.52, 15,315.24 and 8,672.24 is: 13,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.52 : 15,315.24 = 8,672.24 : x
  2. Step 2: Convert to fraction form
    10,201.52/15,315.24 = 8,672.24/x
  3. Step 3: Cross multiply
    10,201.52x = 15,315.24 × 8,672.24
  4. Step 4: Simplify right side
    10,201.52x = 132,817,436.94
  5. Step 5: Solve for x
    x = 132,817,436.94/10,201.52
  6. Step 6: Final answer
    x = 13,019.38

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1.5x scale

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.