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Finding the Fourth Proportional to 6,473.18, 8,932.78 and 3,640.66

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Solution

The fourth proportional to 6,473.18, 8,932.78 and 3,640.66 is: 5,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.18 : 8,932.78 = 3,640.66 : x
  2. Step 2: Convert to fraction form
    6,473.18/8,932.78 = 3,640.66/x
  3. Step 3: Cross multiply
    6,473.18x = 8,932.78 × 3,640.66
  4. Step 4: Simplify right side
    6,473.18x = 32,521,214.83
  5. Step 5: Solve for x
    x = 32,521,214.83/6,473.18
  6. Step 6: Final answer
    x = 5,023.99

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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.