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Finding the Fourth Proportional to 15,123.76, 20,871.28 and 9,156.56

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Solution

The fourth proportional to 15,123.76, 20,871.28 and 9,156.56 is: 12,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.76 : 20,871.28 = 9,156.56 : x
  2. Step 2: Convert to fraction form
    15,123.76/20,871.28 = 9,156.56/x
  3. Step 3: Cross multiply
    15,123.76x = 20,871.28 × 9,156.56
  4. Step 4: Simplify right side
    15,123.76x = 191,109,127.60
  5. Step 5: Solve for x
    x = 191,109,127.60/15,123.76
  6. Step 6: Final answer
    x = 12,636.35

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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.