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Finding the Fourth Proportional to 5,387.50, 8,078.10 and 2,055.94

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Solution

The fourth proportional to 5,387.50, 8,078.10 and 2,055.94 is: 3,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.50 : 8,078.10 = 2,055.94 : x
  2. Step 2: Convert to fraction form
    5,387.50/8,078.10 = 2,055.94/x
  3. Step 3: Cross multiply
    5,387.50x = 8,078.10 × 2,055.94
  4. Step 4: Simplify right side
    5,387.50x = 16,608,088.91
  5. Step 5: Solve for x
    x = 16,608,088.91/5,387.50
  6. Step 6: Final answer
    x = 3,082.71

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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.