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Finding the Fourth Proportional to 7,042, 9,718.14 and 4,247.68

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Solution

The fourth proportional to 7,042, 9,718.14 and 4,247.68 is: 5,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 9,718.14 = 4,247.68 : x
  2. Step 2: Convert to fraction form
    7,042/9,718.14 = 4,247.68/x
  3. Step 3: Cross multiply
    7,042x = 9,718.14 × 4,247.68
  4. Step 4: Simplify right side
    7,042x = 41,279,548.92
  5. Step 5: Solve for x
    x = 41,279,548.92/7,042
  6. Step 6: Final answer
    x = 5,861.91

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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.