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Finding the Fourth Proportional to 6,689.59, 9,231.71 and 3,705.47

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Solution

The fourth proportional to 6,689.59, 9,231.71 and 3,705.47 is: 5,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.59 : 9,231.71 = 3,705.47 : x
  2. Step 2: Convert to fraction form
    6,689.59/9,231.71 = 3,705.47/x
  3. Step 3: Cross multiply
    6,689.59x = 9,231.71 × 3,705.47
  4. Step 4: Simplify right side
    6,689.59x = 34,207,794.39
  5. Step 5: Solve for x
    x = 34,207,794.39/6,689.59
  6. Step 6: Final answer
    x = 5,113.59

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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.