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Finding the Fourth Proportional to 3,656.78, 5,046.30 and 2,000.78

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Solution

The fourth proportional to 3,656.78, 5,046.30 and 2,000.78 is: 2,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.78 : 5,046.30 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    3,656.78/5,046.30 = 2,000.78/x
  3. Step 3: Cross multiply
    3,656.78x = 5,046.30 × 2,000.78
  4. Step 4: Simplify right side
    3,656.78x = 10,096,536.11
  5. Step 5: Solve for x
    x = 10,096,536.11/3,656.78
  6. Step 6: Final answer
    x = 2,761.05

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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.