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Finding the Fourth Proportional to 5,877, 8,812.75 and 2,179.14

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Solution

The fourth proportional to 5,877, 8,812.75 and 2,179.14 is: 3,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877 : 8,812.75 = 2,179.14 : x
  2. Step 2: Convert to fraction form
    5,877/8,812.75 = 2,179.14/x
  3. Step 3: Cross multiply
    5,877x = 8,812.75 × 2,179.14
  4. Step 4: Simplify right side
    5,877x = 19,204,216.04
  5. Step 5: Solve for x
    x = 19,204,216.04/5,877
  6. Step 6: Final answer
    x = 3,267.69

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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.