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Finding the Fourth Proportional to 15,909.12, 23,864 and 9,381.12

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Solution

The fourth proportional to 15,909.12, 23,864 and 9,381.12 is: 14,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.12 : 23,864 = 9,381.12 : x
  2. Step 2: Convert to fraction form
    15,909.12/23,864 = 9,381.12/x
  3. Step 3: Cross multiply
    15,909.12x = 23,864 × 9,381.12
  4. Step 4: Simplify right side
    15,909.12x = 223,871,047.68
  5. Step 5: Solve for x
    x = 223,871,047.68/15,909.12
  6. Step 6: Final answer
    x = 14,071.87

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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.