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Finding the Fourth Proportional to 3,437, 4,744.90 and 2,689.38

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Solution

The fourth proportional to 3,437, 4,744.90 and 2,689.38 is: 3,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 4,744.90 = 2,689.38 : x
  2. Step 2: Convert to fraction form
    3,437/4,744.90 = 2,689.38/x
  3. Step 3: Cross multiply
    3,437x = 4,744.90 × 2,689.38
  4. Step 4: Simplify right side
    3,437x = 12,760,839.16
  5. Step 5: Solve for x
    x = 12,760,839.16/3,437
  6. Step 6: Final answer
    x = 3,712.78

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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.