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Finding the Fourth Proportional to 12,147.20, 16,752 and 7,957.76

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Solution

The fourth proportional to 12,147.20, 16,752 and 7,957.76 is: 10,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.20 : 16,752 = 7,957.76 : x
  2. Step 2: Convert to fraction form
    12,147.20/16,752 = 7,957.76/x
  3. Step 3: Cross multiply
    12,147.20x = 16,752 × 7,957.76
  4. Step 4: Simplify right side
    12,147.20x = 133,308,395.52
  5. Step 5: Solve for x
    x = 133,308,395.52/12,147.20
  6. Step 6: Final answer
    x = 10,974.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.