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Finding the Fourth Proportional to 13,492.98, 20,252.43 and 12,644.10

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Solution

The fourth proportional to 13,492.98, 20,252.43 and 12,644.10 is: 18,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.98 : 20,252.43 = 12,644.10 : x
  2. Step 2: Convert to fraction form
    13,492.98/20,252.43 = 12,644.10/x
  3. Step 3: Cross multiply
    13,492.98x = 20,252.43 × 12,644.10
  4. Step 4: Simplify right side
    13,492.98x = 256,073,750.16
  5. Step 5: Solve for x
    x = 256,073,750.16/13,492.98
  6. Step 6: Final answer
    x = 18,978.29

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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.