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Finding the Fourth Proportional to 8,371.72, 12,535.26 and 6,917.32

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Solution

The fourth proportional to 8,371.72, 12,535.26 and 6,917.32 is: 10,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.72 : 12,535.26 = 6,917.32 : x
  2. Step 2: Convert to fraction form
    8,371.72/12,535.26 = 6,917.32/x
  3. Step 3: Cross multiply
    8,371.72x = 12,535.26 × 6,917.32
  4. Step 4: Simplify right side
    8,371.72x = 86,710,404.70
  5. Step 5: Solve for x
    x = 86,710,404.70/8,371.72
  6. Step 6: Final answer
    x = 10,357.54

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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.