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Finding the Fourth Proportional to 6,761.84, 9,337.78 and 6,393.72

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Solution

The fourth proportional to 6,761.84, 9,337.78 and 6,393.72 is: 8,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.84 : 9,337.78 = 6,393.72 : x
  2. Step 2: Convert to fraction form
    6,761.84/9,337.78 = 6,393.72/x
  3. Step 3: Cross multiply
    6,761.84x = 9,337.78 × 6,393.72
  4. Step 4: Simplify right side
    6,761.84x = 59,703,150.74
  5. Step 5: Solve for x
    x = 59,703,150.74/6,761.84
  6. Step 6: Final answer
    x = 8,829.42

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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.