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Finding the Fourth Proportional to 5,871.78, 8,808.24 and 1,711.83

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Solution

The fourth proportional to 5,871.78, 8,808.24 and 1,711.83 is: 2,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.78 : 8,808.24 = 1,711.83 : x
  2. Step 2: Convert to fraction form
    5,871.78/8,808.24 = 1,711.83/x
  3. Step 3: Cross multiply
    5,871.78x = 8,808.24 × 1,711.83
  4. Step 4: Simplify right side
    5,871.78x = 15,078,209.48
  5. Step 5: Solve for x
    x = 15,078,209.48/5,871.78
  6. Step 6: Final answer
    x = 2,567.91

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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.