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Finding the Fourth Proportional to 3,916.42, 5,409.42 and 2,852.50

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Solution

The fourth proportional to 3,916.42, 5,409.42 and 2,852.50 is: 3,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.42 : 5,409.42 = 2,852.50 : x
  2. Step 2: Convert to fraction form
    3,916.42/5,409.42 = 2,852.50/x
  3. Step 3: Cross multiply
    3,916.42x = 5,409.42 × 2,852.50
  4. Step 4: Simplify right side
    3,916.42x = 15,430,370.55
  5. Step 5: Solve for x
    x = 15,430,370.55/3,916.42
  6. Step 6: Final answer
    x = 3,939.92

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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.