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Finding the Fourth Proportional to 7,158.11, 10,737.16 and 1,963.98

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Solution

The fourth proportional to 7,158.11, 10,737.16 and 1,963.98 is: 2,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.11 : 10,737.16 = 1,963.98 : x
  2. Step 2: Convert to fraction form
    7,158.11/10,737.16 = 1,963.98/x
  3. Step 3: Cross multiply
    7,158.11x = 10,737.16 × 1,963.98
  4. Step 4: Simplify right side
    7,158.11x = 21,087,562.59
  5. Step 5: Solve for x
    x = 21,087,562.59/7,158.11
  6. Step 6: Final answer
    x = 2,945.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.