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Finding the Fourth Proportional to 15,891.72, 21,932.52 and 9,177.34

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Solution

The fourth proportional to 15,891.72, 21,932.52 and 9,177.34 is: 12,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.72 : 21,932.52 = 9,177.34 : x
  2. Step 2: Convert to fraction form
    15,891.72/21,932.52 = 9,177.34/x
  3. Step 3: Cross multiply
    15,891.72x = 21,932.52 × 9,177.34
  4. Step 4: Simplify right side
    15,891.72x = 201,282,193.10
  5. Step 5: Solve for x
    x = 201,282,193.10/15,891.72
  6. Step 6: Final answer
    x = 12,665.85

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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.