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Finding the Fourth Proportional to 8,342.48, 12,500.76 and 5,258

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Solution

The fourth proportional to 8,342.48, 12,500.76 and 5,258 is: 7,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.48 : 12,500.76 = 5,258 : x
  2. Step 2: Convert to fraction form
    8,342.48/12,500.76 = 5,258/x
  3. Step 3: Cross multiply
    8,342.48x = 12,500.76 × 5,258
  4. Step 4: Simplify right side
    8,342.48x = 65,728,996.08
  5. Step 5: Solve for x
    x = 65,728,996.08/8,342.48
  6. Step 6: Final answer
    x = 7,878.83

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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.