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Finding the Fourth Proportional to 8,696.32, 13,011.20 and 7,400.96

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Solution

The fourth proportional to 8,696.32, 13,011.20 and 7,400.96 is: 11,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.32 : 13,011.20 = 7,400.96 : x
  2. Step 2: Convert to fraction form
    8,696.32/13,011.20 = 7,400.96/x
  3. Step 3: Cross multiply
    8,696.32x = 13,011.20 × 7,400.96
  4. Step 4: Simplify right side
    8,696.32x = 96,295,370.75
  5. Step 5: Solve for x
    x = 96,295,370.75/8,696.32
  6. Step 6: Final answer
    x = 11,073.12

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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.