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Finding the Fourth Proportional to 13,976, 20,957.85 and 7,400.65

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Solution

The fourth proportional to 13,976, 20,957.85 and 7,400.65 is: 11,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976 : 20,957.85 = 7,400.65 : x
  2. Step 2: Convert to fraction form
    13,976/20,957.85 = 7,400.65/x
  3. Step 3: Cross multiply
    13,976x = 20,957.85 × 7,400.65
  4. Step 4: Simplify right side
    13,976x = 155,101,712.60
  5. Step 5: Solve for x
    x = 155,101,712.60/13,976
  6. Step 6: Final answer
    x = 11,097.72

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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.