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Finding the Fourth Proportional to 3,161.78, 4,739.51 and 1,597.05

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Solution

The fourth proportional to 3,161.78, 4,739.51 and 1,597.05 is: 2,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.78 : 4,739.51 = 1,597.05 : x
  2. Step 2: Convert to fraction form
    3,161.78/4,739.51 = 1,597.05/x
  3. Step 3: Cross multiply
    3,161.78x = 4,739.51 × 1,597.05
  4. Step 4: Simplify right side
    3,161.78x = 7,569,226.46
  5. Step 5: Solve for x
    x = 7,569,226.46/3,161.78
  6. Step 6: Final answer
    x = 2,393.97

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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.