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Finding the Fourth Proportional to 9,989.29, 13,782 and 6,632.74

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Solution

The fourth proportional to 9,989.29, 13,782 and 6,632.74 is: 9,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.29 : 13,782 = 6,632.74 : x
  2. Step 2: Convert to fraction form
    9,989.29/13,782 = 6,632.74/x
  3. Step 3: Cross multiply
    9,989.29x = 13,782 × 6,632.74
  4. Step 4: Simplify right side
    9,989.29x = 91,412,422.68
  5. Step 5: Solve for x
    x = 91,412,422.68/9,989.29
  6. Step 6: Final answer
    x = 9,151.04

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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.