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Finding the Fourth Proportional to 2,701.46, 4,052.19 and 649.46

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Solution

The fourth proportional to 2,701.46, 4,052.19 and 649.46 is: 974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.46 : 4,052.19 = 649.46 : x
  2. Step 2: Convert to fraction form
    2,701.46/4,052.19 = 649.46/x
  3. Step 3: Cross multiply
    2,701.46x = 4,052.19 × 649.46
  4. Step 4: Simplify right side
    2,701.46x = 2,631,735.32
  5. Step 5: Solve for x
    x = 2,631,735.32/2,701.46
  6. Step 6: Final answer
    x = 974.19

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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.