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Finding the Fourth Proportional to 8,348.64, 12,535.64 and 5,247.96

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Solution

The fourth proportional to 8,348.64, 12,535.64 and 5,247.96 is: 7,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.64 : 12,535.64 = 5,247.96 : x
  2. Step 2: Convert to fraction form
    8,348.64/12,535.64 = 5,247.96/x
  3. Step 3: Cross multiply
    8,348.64x = 12,535.64 × 5,247.96
  4. Step 4: Simplify right side
    8,348.64x = 65,786,537.29
  5. Step 5: Solve for x
    x = 65,786,537.29/8,348.64
  6. Step 6: Final answer
    x = 7,879.91

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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.