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Finding the Fourth Proportional to 5,218.55, 7,815.52 and 4,039.11

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Solution

The fourth proportional to 5,218.55, 7,815.52 and 4,039.11 is: 6,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.55 : 7,815.52 = 4,039.11 : x
  2. Step 2: Convert to fraction form
    5,218.55/7,815.52 = 4,039.11/x
  3. Step 3: Cross multiply
    5,218.55x = 7,815.52 × 4,039.11
  4. Step 4: Simplify right side
    5,218.55x = 31,567,685.71
  5. Step 5: Solve for x
    x = 31,567,685.71/5,218.55
  6. Step 6: Final answer
    x = 6,049.14

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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.