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Finding the Fourth Proportional to 2,000.78, 2,761 and 1,116.73

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Solution

The fourth proportional to 2,000.78, 2,761 and 1,116.73 is: 1,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.78 : 2,761 = 1,116.73 : x
  2. Step 2: Convert to fraction form
    2,000.78/2,761 = 1,116.73/x
  3. Step 3: Cross multiply
    2,000.78x = 2,761 × 1,116.73
  4. Step 4: Simplify right side
    2,000.78x = 3,083,291.53
  5. Step 5: Solve for x
    x = 3,083,291.53/2,000.78
  6. Step 6: Final answer
    x = 1,541.04

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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.