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Finding the Fourth Proportional to 38,492.40, 57,724.20 and 13,522.80

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Solution

The fourth proportional to 38,492.40, 57,724.20 and 13,522.80 is: 20,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.40 : 57,724.20 = 13,522.80 : x
  2. Step 2: Convert to fraction form
    38,492.40/57,724.20 = 13,522.80/x
  3. Step 3: Cross multiply
    38,492.40x = 57,724.20 × 13,522.80
  4. Step 4: Simplify right side
    38,492.40x = 780,592,811.76
  5. Step 5: Solve for x
    x = 780,592,811.76/38,492.40
  6. Step 6: Final answer
    x = 20,279.14

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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.