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Finding the Fourth Proportional to 8,239, 11,371.40 and 6,442.92

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Solution

The fourth proportional to 8,239, 11,371.40 and 6,442.92 is: 8,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 11,371.40 = 6,442.92 : x
  2. Step 2: Convert to fraction form
    8,239/11,371.40 = 6,442.92/x
  3. Step 3: Cross multiply
    8,239x = 11,371.40 × 6,442.92
  4. Step 4: Simplify right side
    8,239x = 73,265,020.49
  5. Step 5: Solve for x
    x = 73,265,020.49/8,239
  6. Step 6: Final answer
    x = 8,892.47

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Half scale
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Double scale
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1.5x scale

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.