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Finding the Fourth Proportional to 3,672.76, 5,069.74 and 2,431.16

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Solution

The fourth proportional to 3,672.76, 5,069.74 and 2,431.16 is: 3,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.76 : 5,069.74 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    3,672.76/5,069.74 = 2,431.16/x
  3. Step 3: Cross multiply
    3,672.76x = 5,069.74 × 2,431.16
  4. Step 4: Simplify right side
    3,672.76x = 12,325,349.10
  5. Step 5: Solve for x
    x = 12,325,349.10/3,672.76
  6. Step 6: Final answer
    x = 3,355.88

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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.