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Finding the Fourth Proportional to 6,689.29, 9,230.70 and 3,704.89

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Solution

The fourth proportional to 6,689.29, 9,230.70 and 3,704.89 is: 5,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.29 : 9,230.70 = 3,704.89 : x
  2. Step 2: Convert to fraction form
    6,689.29/9,230.70 = 3,704.89/x
  3. Step 3: Cross multiply
    6,689.29x = 9,230.70 × 3,704.89
  4. Step 4: Simplify right side
    6,689.29x = 34,198,728.12
  5. Step 5: Solve for x
    x = 34,198,728.12/6,689.29
  6. Step 6: Final answer
    x = 5,112.46

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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.