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Finding the Fourth Proportional to 15,947.13, 22,007.24 and 8,777.88

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Solution

The fourth proportional to 15,947.13, 22,007.24 and 8,777.88 is: 12,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.13 : 22,007.24 = 8,777.88 : x
  2. Step 2: Convert to fraction form
    15,947.13/22,007.24 = 8,777.88/x
  3. Step 3: Cross multiply
    15,947.13x = 22,007.24 × 8,777.88
  4. Step 4: Simplify right side
    15,947.13x = 193,176,867.96
  5. Step 5: Solve for x
    x = 193,176,867.96/15,947.13
  6. Step 6: Final answer
    x = 12,113.58

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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.