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Finding the Fourth Proportional to 9,975.80, 13,761.92 and 6,197.76

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Solution

The fourth proportional to 9,975.80, 13,761.92 and 6,197.76 is: 8,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.80 : 13,761.92 = 6,197.76 : x
  2. Step 2: Convert to fraction form
    9,975.80/13,761.92 = 6,197.76/x
  3. Step 3: Cross multiply
    9,975.80x = 13,761.92 × 6,197.76
  4. Step 4: Simplify right side
    9,975.80x = 85,293,092.79
  5. Step 5: Solve for x
    x = 85,293,092.79/9,975.80
  6. Step 6: Final answer
    x = 8,550.00

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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.