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Finding the Fourth Proportional to 3,158.86, 4,731.80 and 2,539.22

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Solution

The fourth proportional to 3,158.86, 4,731.80 and 2,539.22 is: 3,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.86 : 4,731.80 = 2,539.22 : x
  2. Step 2: Convert to fraction form
    3,158.86/4,731.80 = 2,539.22/x
  3. Step 3: Cross multiply
    3,158.86x = 4,731.80 × 2,539.22
  4. Step 4: Simplify right side
    3,158.86x = 12,015,081.20
  5. Step 5: Solve for x
    x = 12,015,081.20/3,158.86
  6. Step 6: Final answer
    x = 3,803.61

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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.