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Finding the Fourth Proportional to 7,158.60, 10,737.18 and 1,965.24

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Solution

The fourth proportional to 7,158.60, 10,737.18 and 1,965.24 is: 2,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.60 : 10,737.18 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    7,158.60/10,737.18 = 1,965.24/x
  3. Step 3: Cross multiply
    7,158.60x = 10,737.18 × 1,965.24
  4. Step 4: Simplify right side
    7,158.60x = 21,101,135.62
  5. Step 5: Solve for x
    x = 21,101,135.62/7,158.60
  6. Step 6: Final answer
    x = 2,947.66

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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.