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Finding the Fourth Proportional to 2,000.80, 2,993.68 and 1,385.71

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Solution

The fourth proportional to 2,000.80, 2,993.68 and 1,385.71 is: 2,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.80 : 2,993.68 = 1,385.71 : x
  2. Step 2: Convert to fraction form
    2,000.80/2,993.68 = 1,385.71/x
  3. Step 3: Cross multiply
    2,000.80x = 2,993.68 × 1,385.71
  4. Step 4: Simplify right side
    2,000.80x = 4,148,370.46
  5. Step 5: Solve for x
    x = 4,148,370.46/2,000.80
  6. Step 6: Final answer
    x = 2,073.35

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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.