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Finding the Fourth Proportional to 4,115.72, 5,679.72 and 2,252.72

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Solution

The fourth proportional to 4,115.72, 5,679.72 and 2,252.72 is: 3,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.72 : 5,679.72 = 2,252.72 : x
  2. Step 2: Convert to fraction form
    4,115.72/5,679.72 = 2,252.72/x
  3. Step 3: Cross multiply
    4,115.72x = 5,679.72 × 2,252.72
  4. Step 4: Simplify right side
    4,115.72x = 12,794,818.84
  5. Step 5: Solve for x
    x = 12,794,818.84/4,115.72
  6. Step 6: Final answer
    x = 3,108.77

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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.