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Finding the Fourth Proportional to 6,438, 9,654.48 and 2,741.92

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Solution

The fourth proportional to 6,438, 9,654.48 and 2,741.92 is: 4,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 9,654.48 = 2,741.92 : x
  2. Step 2: Convert to fraction form
    6,438/9,654.48 = 2,741.92/x
  3. Step 3: Cross multiply
    6,438x = 9,654.48 × 2,741.92
  4. Step 4: Simplify right side
    6,438x = 26,471,811.80
  5. Step 5: Solve for x
    x = 26,471,811.80/6,438
  6. Step 6: Final answer
    x = 4,111.81

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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.