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Finding the Fourth Proportional to 5,689.71, 7,850.47 and 3,451.14

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Solution

The fourth proportional to 5,689.71, 7,850.47 and 3,451.14 is: 4,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.71 : 7,850.47 = 3,451.14 : x
  2. Step 2: Convert to fraction form
    5,689.71/7,850.47 = 3,451.14/x
  3. Step 3: Cross multiply
    5,689.71x = 7,850.47 × 3,451.14
  4. Step 4: Simplify right side
    5,689.71x = 27,093,014.53
  5. Step 5: Solve for x
    x = 27,093,014.53/5,689.71
  6. Step 6: Final answer
    x = 4,761.76

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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.