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Finding the Fourth Proportional to 25,355.70, 38,000.35 and 13,643.70

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Solution

The fourth proportional to 25,355.70, 38,000.35 and 13,643.70 is: 20,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355.70 : 38,000.35 = 13,643.70 : x
  2. Step 2: Convert to fraction form
    25,355.70/38,000.35 = 13,643.70/x
  3. Step 3: Cross multiply
    25,355.70x = 38,000.35 × 13,643.70
  4. Step 4: Simplify right side
    25,355.70x = 518,465,375.30
  5. Step 5: Solve for x
    x = 518,465,375.30/25,355.70
  6. Step 6: Final answer
    x = 20,447.69

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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.