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Finding the Fourth Proportional to 9,642.60, 14,382.54 and 8,793.72

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Solution

The fourth proportional to 9,642.60, 14,382.54 and 8,793.72 is: 13,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.60 : 14,382.54 = 8,793.72 : x
  2. Step 2: Convert to fraction form
    9,642.60/14,382.54 = 8,793.72/x
  3. Step 3: Cross multiply
    9,642.60x = 14,382.54 × 8,793.72
  4. Step 4: Simplify right side
    9,642.60x = 126,476,029.65
  5. Step 5: Solve for x
    x = 126,476,029.65/9,642.60
  6. Step 6: Final answer
    x = 13,116.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.