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Finding the Fourth Proportional to 24,188.28, 36,279.69 and 8,390.40

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Solution

The fourth proportional to 24,188.28, 36,279.69 and 8,390.40 is: 12,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.28 : 36,279.69 = 8,390.40 : x
  2. Step 2: Convert to fraction form
    24,188.28/36,279.69 = 8,390.40/x
  3. Step 3: Cross multiply
    24,188.28x = 36,279.69 × 8,390.40
  4. Step 4: Simplify right side
    24,188.28x = 304,401,110.98
  5. Step 5: Solve for x
    x = 304,401,110.98/24,188.28
  6. Step 6: Final answer
    x = 12,584.65

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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.