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Finding the Fourth Proportional to 7,757.76, 10,705.42 and 4,220.92

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Solution

The fourth proportional to 7,757.76, 10,705.42 and 4,220.92 is: 5,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.76 : 10,705.42 = 4,220.92 : x
  2. Step 2: Convert to fraction form
    7,757.76/10,705.42 = 4,220.92/x
  3. Step 3: Cross multiply
    7,757.76x = 10,705.42 × 4,220.92
  4. Step 4: Simplify right side
    7,757.76x = 45,186,721.39
  5. Step 5: Solve for x
    x = 45,186,721.39/7,757.76
  6. Step 6: Final answer
    x = 5,824.71

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Half scale
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Double scale
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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.