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Finding the Fourth Proportional to 6,111.60, 8,432.92 and 3,594.22

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Solution

The fourth proportional to 6,111.60, 8,432.92 and 3,594.22 is: 4,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.60 : 8,432.92 = 3,594.22 : x
  2. Step 2: Convert to fraction form
    6,111.60/8,432.92 = 3,594.22/x
  3. Step 3: Cross multiply
    6,111.60x = 8,432.92 × 3,594.22
  4. Step 4: Simplify right side
    6,111.60x = 30,309,769.72
  5. Step 5: Solve for x
    x = 30,309,769.72/6,111.60
  6. Step 6: Final answer
    x = 4,959.38

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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.