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Finding the Fourth Proportional to 5,385, 8,078.70 and 2,463.42

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Solution

The fourth proportional to 5,385, 8,078.70 and 2,463.42 is: 3,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385 : 8,078.70 = 2,463.42 : x
  2. Step 2: Convert to fraction form
    5,385/8,078.70 = 2,463.42/x
  3. Step 3: Cross multiply
    5,385x = 8,078.70 × 2,463.42
  4. Step 4: Simplify right side
    5,385x = 19,901,231.15
  5. Step 5: Solve for x
    x = 19,901,231.15/5,385
  6. Step 6: Final answer
    x = 3,695.68

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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.