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Finding the Fourth Proportional to 6,687.40, 10,041.90 and 3,916.30

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Solution

The fourth proportional to 6,687.40, 10,041.90 and 3,916.30 is: 5,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.40 : 10,041.90 = 3,916.30 : x
  2. Step 2: Convert to fraction form
    6,687.40/10,041.90 = 3,916.30/x
  3. Step 3: Cross multiply
    6,687.40x = 10,041.90 × 3,916.30
  4. Step 4: Simplify right side
    6,687.40x = 39,327,092.97
  5. Step 5: Solve for x
    x = 39,327,092.97/6,687.40
  6. Step 6: Final answer
    x = 5,880.77

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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.