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Finding the Fourth Proportional to 13,437.68, 20,123 and 8,492.40

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Solution

The fourth proportional to 13,437.68, 20,123 and 8,492.40 is: 12,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.68 : 20,123 = 8,492.40 : x
  2. Step 2: Convert to fraction form
    13,437.68/20,123 = 8,492.40/x
  3. Step 3: Cross multiply
    13,437.68x = 20,123 × 8,492.40
  4. Step 4: Simplify right side
    13,437.68x = 170,892,565.20
  5. Step 5: Solve for x
    x = 170,892,565.20/13,437.68
  6. Step 6: Final answer
    x = 12,717.42

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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.