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Finding the Fourth Proportional to 3,806.16, 5,250.24 and 2,814

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Solution

The fourth proportional to 3,806.16, 5,250.24 and 2,814 is: 3,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.16 : 5,250.24 = 2,814 : x
  2. Step 2: Convert to fraction form
    3,806.16/5,250.24 = 2,814/x
  3. Step 3: Cross multiply
    3,806.16x = 5,250.24 × 2,814
  4. Step 4: Simplify right side
    3,806.16x = 14,774,175.36
  5. Step 5: Solve for x
    x = 14,774,175.36/3,806.16
  6. Step 6: Final answer
    x = 3,881.65

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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.