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Finding the Fourth Proportional to 3,947.55, 5,916.30 and 2,099.55

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Solution

The fourth proportional to 3,947.55, 5,916.30 and 2,099.55 is: 3,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.55 : 5,916.30 = 2,099.55 : x
  2. Step 2: Convert to fraction form
    3,947.55/5,916.30 = 2,099.55/x
  3. Step 3: Cross multiply
    3,947.55x = 5,916.30 × 2,099.55
  4. Step 4: Simplify right side
    3,947.55x = 12,421,567.67
  5. Step 5: Solve for x
    x = 12,421,567.67/3,947.55
  6. Step 6: Final answer
    x = 3,146.65

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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.