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Finding the Fourth Proportional to 11,644.80, 16,073.28 and 7,174.95

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Solution

The fourth proportional to 11,644.80, 16,073.28 and 7,174.95 is: 9,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.80 : 16,073.28 = 7,174.95 : x
  2. Step 2: Convert to fraction form
    11,644.80/16,073.28 = 7,174.95/x
  3. Step 3: Cross multiply
    11,644.80x = 16,073.28 × 7,174.95
  4. Step 4: Simplify right side
    11,644.80x = 115,324,980.34
  5. Step 5: Solve for x
    x = 115,324,980.34/11,644.80
  6. Step 6: Final answer
    x = 9,903.56

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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.