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Finding the Fourth Proportional to 6,689.32, 9,230.14 and 4,299.82

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Solution

The fourth proportional to 6,689.32, 9,230.14 and 4,299.82 is: 5,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.32 : 9,230.14 = 4,299.82 : x
  2. Step 2: Convert to fraction form
    6,689.32/9,230.14 = 4,299.82/x
  3. Step 3: Cross multiply
    6,689.32x = 9,230.14 × 4,299.82
  4. Step 4: Simplify right side
    6,689.32x = 39,687,940.57
  5. Step 5: Solve for x
    x = 39,687,940.57/6,689.32
  6. Step 6: Final answer
    x = 5,933.03

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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.