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Finding the Fourth Proportional to 28,294.56, 42,431.04 and 13,492.16

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Solution

The fourth proportional to 28,294.56, 42,431.04 and 13,492.16 is: 20,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294.56 : 42,431.04 = 13,492.16 : x
  2. Step 2: Convert to fraction form
    28,294.56/42,431.04 = 13,492.16/x
  3. Step 3: Cross multiply
    28,294.56x = 42,431.04 × 13,492.16
  4. Step 4: Simplify right side
    28,294.56x = 572,486,380.65
  5. Step 5: Solve for x
    x = 572,486,380.65/28,294.56
  6. Step 6: Final answer
    x = 20,233.09

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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.