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Finding the Fourth Proportional to 7,761.78, 10,713.60 and 7,364.97

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Solution

The fourth proportional to 7,761.78, 10,713.60 and 7,364.97 is: 10,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.78 : 10,713.60 = 7,364.97 : x
  2. Step 2: Convert to fraction form
    7,761.78/10,713.60 = 7,364.97/x
  3. Step 3: Cross multiply
    7,761.78x = 10,713.60 × 7,364.97
  4. Step 4: Simplify right side
    7,761.78x = 78,905,342.59
  5. Step 5: Solve for x
    x = 78,905,342.59/7,761.78
  6. Step 6: Final answer
    x = 10,165.88

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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.