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Finding the Fourth Proportional to 3,916.05, 5,874.11 and 1,318.98

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Solution

The fourth proportional to 3,916.05, 5,874.11 and 1,318.98 is: 1,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.05 : 5,874.11 = 1,318.98 : x
  2. Step 2: Convert to fraction form
    3,916.05/5,874.11 = 1,318.98/x
  3. Step 3: Cross multiply
    3,916.05x = 5,874.11 × 1,318.98
  4. Step 4: Simplify right side
    3,916.05x = 7,747,827.01
  5. Step 5: Solve for x
    x = 7,747,827.01/3,916.05
  6. Step 6: Final answer
    x = 1,978.48

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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.