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Finding the Fourth Proportional to 7,963.97, 10,977.66 and 7,320.83

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Solution

The fourth proportional to 7,963.97, 10,977.66 and 7,320.83 is: 10,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.97 : 10,977.66 = 7,320.83 : x
  2. Step 2: Convert to fraction form
    7,963.97/10,977.66 = 7,320.83/x
  3. Step 3: Cross multiply
    7,963.97x = 10,977.66 × 7,320.83
  4. Step 4: Simplify right side
    7,963.97x = 80,365,527.77
  5. Step 5: Solve for x
    x = 80,365,527.77/7,963.97
  6. Step 6: Final answer
    x = 10,091.15

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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.