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Finding the Fourth Proportional to 7,129.56, 9,838.50 and 3,942.66

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Solution

The fourth proportional to 7,129.56, 9,838.50 and 3,942.66 is: 5,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.56 : 9,838.50 = 3,942.66 : x
  2. Step 2: Convert to fraction form
    7,129.56/9,838.50 = 3,942.66/x
  3. Step 3: Cross multiply
    7,129.56x = 9,838.50 × 3,942.66
  4. Step 4: Simplify right side
    7,129.56x = 38,789,811.22
  5. Step 5: Solve for x
    x = 38,789,811.22/7,129.56
  6. Step 6: Final answer
    x = 5,440.70

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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.