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Finding the Fourth Proportional to 2,538.17, 3,807.12 and 806.66

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Solution

The fourth proportional to 2,538.17, 3,807.12 and 806.66 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.17 : 3,807.12 = 806.66 : x
  2. Step 2: Convert to fraction form
    2,538.17/3,807.12 = 806.66/x
  3. Step 3: Cross multiply
    2,538.17x = 3,807.12 × 806.66
  4. Step 4: Simplify right side
    2,538.17x = 3,071,045.15
  5. Step 5: Solve for x
    x = 3,071,045.15/2,538.17
  6. Step 6: Final answer
    x = 1,209.95

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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.