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Finding the Fourth Proportional to 4,115.76, 5,679.76 and 2,252.76

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Solution

The fourth proportional to 4,115.76, 5,679.76 and 2,252.76 is: 3,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.76 : 5,679.76 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    4,115.76/5,679.76 = 2,252.76/x
  3. Step 3: Cross multiply
    4,115.76x = 5,679.76 × 2,252.76
  4. Step 4: Simplify right side
    4,115.76x = 12,795,136.14
  5. Step 5: Solve for x
    x = 12,795,136.14/4,115.76
  6. Step 6: Final answer
    x = 3,108.81

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Half scale
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Double scale
Find fourth proportional to 4,116.76, 5,681.14 and 2,253.76
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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.