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Finding the Fourth Proportional to 15,123.20, 20,871.42 and 8,410.22

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Solution

The fourth proportional to 15,123.20, 20,871.42 and 8,410.22 is: 11,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.20 : 20,871.42 = 8,410.22 : x
  2. Step 2: Convert to fraction form
    15,123.20/20,871.42 = 8,410.22/x
  3. Step 3: Cross multiply
    15,123.20x = 20,871.42 × 8,410.22
  4. Step 4: Simplify right side
    15,123.20x = 175,533,129.56
  5. Step 5: Solve for x
    x = 175,533,129.56/15,123.20
  6. Step 6: Final answer
    x = 11,606.88

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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.