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Finding the Fourth Proportional to 7,871.10, 11,819.82 and 4,916.43

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Solution

The fourth proportional to 7,871.10, 11,819.82 and 4,916.43 is: 7,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.10 : 11,819.82 = 4,916.43 : x
  2. Step 2: Convert to fraction form
    7,871.10/11,819.82 = 4,916.43/x
  3. Step 3: Cross multiply
    7,871.10x = 11,819.82 × 4,916.43
  4. Step 4: Simplify right side
    7,871.10x = 58,111,317.64
  5. Step 5: Solve for x
    x = 58,111,317.64/7,871.10
  6. Step 6: Final answer
    x = 7,382.87

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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.