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Finding the Fourth Proportional to 7,063.31, 9,747.35 and 3,876.66

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Solution

The fourth proportional to 7,063.31, 9,747.35 and 3,876.66 is: 5,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.31 : 9,747.35 = 3,876.66 : x
  2. Step 2: Convert to fraction form
    7,063.31/9,747.35 = 3,876.66/x
  3. Step 3: Cross multiply
    7,063.31x = 9,747.35 × 3,876.66
  4. Step 4: Simplify right side
    7,063.31x = 37,787,166.84
  5. Step 5: Solve for x
    x = 37,787,166.84/7,063.31
  6. Step 6: Final answer
    x = 5,349.78

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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.