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Finding the Fourth Proportional to 25,706.96, 38,560.44 and 13,418.96

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Solution

The fourth proportional to 25,706.96, 38,560.44 and 13,418.96 is: 20,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.96 : 38,560.44 = 13,418.96 : x
  2. Step 2: Convert to fraction form
    25,706.96/38,560.44 = 13,418.96/x
  3. Step 3: Cross multiply
    25,706.96x = 38,560.44 × 13,418.96
  4. Step 4: Simplify right side
    25,706.96x = 517,441,001.94
  5. Step 5: Solve for x
    x = 517,441,001.94/25,706.96
  6. Step 6: Final answer
    x = 20,128.44

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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.