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Finding the Fourth Proportional to 6,740.48, 9,301.44 and 3,908

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Solution

The fourth proportional to 6,740.48, 9,301.44 and 3,908 is: 5,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.48 : 9,301.44 = 3,908 : x
  2. Step 2: Convert to fraction form
    6,740.48/9,301.44 = 3,908/x
  3. Step 3: Cross multiply
    6,740.48x = 9,301.44 × 3,908
  4. Step 4: Simplify right side
    6,740.48x = 36,350,027.52
  5. Step 5: Solve for x
    x = 36,350,027.52/6,740.48
  6. Step 6: Final answer
    x = 5,392.80

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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.