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Finding the Fourth Proportional to 15,123.76, 20,871.24 and 9,156.52

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Solution

The fourth proportional to 15,123.76, 20,871.24 and 9,156.52 is: 12,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.76 : 20,871.24 = 9,156.52 : x
  2. Step 2: Convert to fraction form
    15,123.76/20,871.24 = 9,156.52/x
  3. Step 3: Cross multiply
    15,123.76x = 20,871.24 × 9,156.52
  4. Step 4: Simplify right side
    15,123.76x = 191,107,926.48
  5. Step 5: Solve for x
    x = 191,107,926.48/15,123.76
  6. Step 6: Final answer
    x = 12,636.27

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1.5x scale

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.