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Finding the Fourth Proportional to 8,965, 12,371.70 and 5,239

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Solution

The fourth proportional to 8,965, 12,371.70 and 5,239 is: 7,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965 : 12,371.70 = 5,239 : x
  2. Step 2: Convert to fraction form
    8,965/12,371.70 = 5,239/x
  3. Step 3: Cross multiply
    8,965x = 12,371.70 × 5,239
  4. Step 4: Simplify right side
    8,965x = 64,815,336.30
  5. Step 5: Solve for x
    x = 64,815,336.30/8,965
  6. Step 6: Final answer
    x = 7,229.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.