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Finding the Fourth Proportional to 9,964.06, 13,755.68 and 7,720.90

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Solution

The fourth proportional to 9,964.06, 13,755.68 and 7,720.90 is: 10,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.06 : 13,755.68 = 7,720.90 : x
  2. Step 2: Convert to fraction form
    9,964.06/13,755.68 = 7,720.90/x
  3. Step 3: Cross multiply
    9,964.06x = 13,755.68 × 7,720.90
  4. Step 4: Simplify right side
    9,964.06x = 106,206,229.71
  5. Step 5: Solve for x
    x = 106,206,229.71/9,964.06
  6. Step 6: Final answer
    x = 10,658.93

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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.