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Finding the Fourth Proportional to 2,000.60, 2,760.96 and 1,116.40

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Solution

The fourth proportional to 2,000.60, 2,760.96 and 1,116.40 is: 1,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.60 : 2,760.96 = 1,116.40 : x
  2. Step 2: Convert to fraction form
    2,000.60/2,760.96 = 1,116.40/x
  3. Step 3: Cross multiply
    2,000.60x = 2,760.96 × 1,116.40
  4. Step 4: Simplify right side
    2,000.60x = 3,082,335.74
  5. Step 5: Solve for x
    x = 3,082,335.74/2,000.60
  6. Step 6: Final answer
    x = 1,540.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.