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Finding the Fourth Proportional to 9,942, 13,722.84 and 6,630

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Solution

The fourth proportional to 9,942, 13,722.84 and 6,630 is: 9,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942 : 13,722.84 = 6,630 : x
  2. Step 2: Convert to fraction form
    9,942/13,722.84 = 6,630/x
  3. Step 3: Cross multiply
    9,942x = 13,722.84 × 6,630
  4. Step 4: Simplify right side
    9,942x = 90,982,429.20
  5. Step 5: Solve for x
    x = 90,982,429.20/9,942
  6. Step 6: Final answer
    x = 9,151.32

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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.