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Finding the Fourth Proportional to 2,539.47, 3,807.45 and 873.15

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Solution

The fourth proportional to 2,539.47, 3,807.45 and 873.15 is: 1,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.47 : 3,807.45 = 873.15 : x
  2. Step 2: Convert to fraction form
    2,539.47/3,807.45 = 873.15/x
  3. Step 3: Cross multiply
    2,539.47x = 3,807.45 × 873.15
  4. Step 4: Simplify right side
    2,539.47x = 3,324,474.97
  5. Step 5: Solve for x
    x = 3,324,474.97/2,539.47
  6. Step 6: Final answer
    x = 1,309.12

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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.