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Finding the Fourth Proportional to 6,642.90, 9,965.02 and 2,260.66

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Solution

The fourth proportional to 6,642.90, 9,965.02 and 2,260.66 is: 3,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.90 : 9,965.02 = 2,260.66 : x
  2. Step 2: Convert to fraction form
    6,642.90/9,965.02 = 2,260.66/x
  3. Step 3: Cross multiply
    6,642.90x = 9,965.02 × 2,260.66
  4. Step 4: Simplify right side
    6,642.90x = 22,527,516.46
  5. Step 5: Solve for x
    x = 22,527,516.46/6,642.90
  6. Step 6: Final answer
    x = 3,391.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.