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Finding the Fourth Proportional to 5,977.80, 8,966.12 and 1,817.85

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Solution

The fourth proportional to 5,977.80, 8,966.12 and 1,817.85 is: 2,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.80 : 8,966.12 = 1,817.85 : x
  2. Step 2: Convert to fraction form
    5,977.80/8,966.12 = 1,817.85/x
  3. Step 3: Cross multiply
    5,977.80x = 8,966.12 × 1,817.85
  4. Step 4: Simplify right side
    5,977.80x = 16,299,052.15
  5. Step 5: Solve for x
    x = 16,299,052.15/5,977.80
  6. Step 6: Final answer
    x = 2,726.60

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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.