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Finding the Fourth Proportional to 6,689.79, 10,034.69 and 3,404.43

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Solution

The fourth proportional to 6,689.79, 10,034.69 and 3,404.43 is: 5,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.79 : 10,034.69 = 3,404.43 : x
  2. Step 2: Convert to fraction form
    6,689.79/10,034.69 = 3,404.43/x
  3. Step 3: Cross multiply
    6,689.79x = 10,034.69 × 3,404.43
  4. Step 4: Simplify right side
    6,689.79x = 34,162,382.65
  5. Step 5: Solve for x
    x = 34,162,382.65/6,689.79
  6. Step 6: Final answer
    x = 5,106.65

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1.5x scale

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.