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Finding the Fourth Proportional to 3,679.43, 5,077.62 and 2,000.84

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Solution

The fourth proportional to 3,679.43, 5,077.62 and 2,000.84 is: 2,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.43 : 5,077.62 = 2,000.84 : x
  2. Step 2: Convert to fraction form
    3,679.43/5,077.62 = 2,000.84/x
  3. Step 3: Cross multiply
    3,679.43x = 5,077.62 × 2,000.84
  4. Step 4: Simplify right side
    3,679.43x = 10,159,479.81
  5. Step 5: Solve for x
    x = 10,159,479.81/3,679.43
  6. Step 6: Final answer
    x = 2,761.16

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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.