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Finding the Fourth Proportional to 25,711.96, 38,567.94 and 13,423.96

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Solution

The fourth proportional to 25,711.96, 38,567.94 and 13,423.96 is: 20,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.96 : 38,567.94 = 13,423.96 : x
  2. Step 2: Convert to fraction form
    25,711.96/38,567.94 = 13,423.96/x
  3. Step 3: Cross multiply
    25,711.96x = 38,567.94 × 13,423.96
  4. Step 4: Simplify right side
    25,711.96x = 517,734,483.84
  5. Step 5: Solve for x
    x = 517,734,483.84/25,711.96
  6. Step 6: Final answer
    x = 20,135.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.