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Finding the Fourth Proportional to 7,932, 11,957.64 and 7,396.86

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Solution

The fourth proportional to 7,932, 11,957.64 and 7,396.86 is: 11,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932 : 11,957.64 = 7,396.86 : x
  2. Step 2: Convert to fraction form
    7,932/11,957.64 = 7,396.86/x
  3. Step 3: Cross multiply
    7,932x = 11,957.64 × 7,396.86
  4. Step 4: Simplify right side
    7,932x = 88,448,989.01
  5. Step 5: Solve for x
    x = 88,448,989.01/7,932
  6. Step 6: Final answer
    x = 11,150.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.