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Finding the Fourth Proportional to 4,122, 5,685.96 and 2,863.76

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Solution

The fourth proportional to 4,122, 5,685.96 and 2,863.76 is: 3,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,685.96 = 2,863.76 : x
  2. Step 2: Convert to fraction form
    4,122/5,685.96 = 2,863.76/x
  3. Step 3: Cross multiply
    4,122x = 5,685.96 × 2,863.76
  4. Step 4: Simplify right side
    4,122x = 16,283,224.81
  5. Step 5: Solve for x
    x = 16,283,224.81/4,122
  6. Step 6: Final answer
    x = 3,950.32

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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.