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Finding the Fourth Proportional to 7,741.70, 11,640.58 and 7,132.76

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Solution

The fourth proportional to 7,741.70, 11,640.58 and 7,132.76 is: 10,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.70 : 11,640.58 = 7,132.76 : x
  2. Step 2: Convert to fraction form
    7,741.70/11,640.58 = 7,132.76/x
  3. Step 3: Cross multiply
    7,741.70x = 11,640.58 × 7,132.76
  4. Step 4: Simplify right side
    7,741.70x = 83,029,463.40
  5. Step 5: Solve for x
    x = 83,029,463.40/7,741.70
  6. Step 6: Final answer
    x = 10,724.97

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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.