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Finding the Fourth Proportional to 2,318.39, 3,477.38 and 932.48

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Solution

The fourth proportional to 2,318.39, 3,477.38 and 932.48 is: 1,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.39 : 3,477.38 = 932.48 : x
  2. Step 2: Convert to fraction form
    2,318.39/3,477.38 = 932.48/x
  3. Step 3: Cross multiply
    2,318.39x = 3,477.38 × 932.48
  4. Step 4: Simplify right side
    2,318.39x = 3,242,565.25
  5. Step 5: Solve for x
    x = 3,242,565.25/2,318.39
  6. Step 6: Final answer
    x = 1,398.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.