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Finding the Fourth Proportional to 2,872.32, 4,306.08 and 2,736.24

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Solution

The fourth proportional to 2,872.32, 4,306.08 and 2,736.24 is: 4,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.32 : 4,306.08 = 2,736.24 : x
  2. Step 2: Convert to fraction form
    2,872.32/4,306.08 = 2,736.24/x
  3. Step 3: Cross multiply
    2,872.32x = 4,306.08 × 2,736.24
  4. Step 4: Simplify right side
    2,872.32x = 11,782,468.34
  5. Step 5: Solve for x
    x = 11,782,468.34/2,872.32
  6. Step 6: Final answer
    x = 4,102.07

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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.