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Finding the Fourth Proportional to 8,158.38, 12,239.19 and 4,650

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Solution

The fourth proportional to 8,158.38, 12,239.19 and 4,650 is: 6,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.38 : 12,239.19 = 4,650 : x
  2. Step 2: Convert to fraction form
    8,158.38/12,239.19 = 4,650/x
  3. Step 3: Cross multiply
    8,158.38x = 12,239.19 × 4,650
  4. Step 4: Simplify right side
    8,158.38x = 56,912,233.50
  5. Step 5: Solve for x
    x = 56,912,233.50/8,158.38
  6. Step 6: Final answer
    x = 6,975.92

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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.