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Finding the Fourth Proportional to 3,812, 5,256.96 and 2,486.72

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Solution

The fourth proportional to 3,812, 5,256.96 and 2,486.72 is: 3,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,256.96 = 2,486.72 : x
  2. Step 2: Convert to fraction form
    3,812/5,256.96 = 2,486.72/x
  3. Step 3: Cross multiply
    3,812x = 5,256.96 × 2,486.72
  4. Step 4: Simplify right side
    3,812x = 13,072,587.57
  5. Step 5: Solve for x
    x = 13,072,587.57/3,812
  6. Step 6: Final answer
    x = 3,429.33

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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.