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Finding the Fourth Proportional to 9,940, 13,717.20 and 5,748.52

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Solution

The fourth proportional to 9,940, 13,717.20 and 5,748.52 is: 7,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940 : 13,717.20 = 5,748.52 : x
  2. Step 2: Convert to fraction form
    9,940/13,717.20 = 5,748.52/x
  3. Step 3: Cross multiply
    9,940x = 13,717.20 × 5,748.52
  4. Step 4: Simplify right side
    9,940x = 78,853,598.54
  5. Step 5: Solve for x
    x = 78,853,598.54/9,940
  6. Step 6: Final answer
    x = 7,932.96

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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.