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Finding the Fourth Proportional to 5,488.64, 8,230.90 and 1,977.70

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Solution

The fourth proportional to 5,488.64, 8,230.90 and 1,977.70 is: 2,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.64 : 8,230.90 = 1,977.70 : x
  2. Step 2: Convert to fraction form
    5,488.64/8,230.90 = 1,977.70/x
  3. Step 3: Cross multiply
    5,488.64x = 8,230.90 × 1,977.70
  4. Step 4: Simplify right side
    5,488.64x = 16,278,250.93
  5. Step 5: Solve for x
    x = 16,278,250.93/5,488.64
  6. Step 6: Final answer
    x = 2,965.81

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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.