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Finding the Fourth Proportional to 3,916.70, 5,404.70 and 2,237.77

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Solution

The fourth proportional to 3,916.70, 5,404.70 and 2,237.77 is: 3,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.70 : 5,404.70 = 2,237.77 : x
  2. Step 2: Convert to fraction form
    3,916.70/5,404.70 = 2,237.77/x
  3. Step 3: Cross multiply
    3,916.70x = 5,404.70 × 2,237.77
  4. Step 4: Simplify right side
    3,916.70x = 12,094,487.87
  5. Step 5: Solve for x
    x = 12,094,487.87/3,916.70
  6. Step 6: Final answer
    x = 3,087.93

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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.