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Finding the Fourth Proportional to 3,369.74, 5,053.20 and 1,985.86

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Solution

The fourth proportional to 3,369.74, 5,053.20 and 1,985.86 is: 2,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.74 : 5,053.20 = 1,985.86 : x
  2. Step 2: Convert to fraction form
    3,369.74/5,053.20 = 1,985.86/x
  3. Step 3: Cross multiply
    3,369.74x = 5,053.20 × 1,985.86
  4. Step 4: Simplify right side
    3,369.74x = 10,034,947.75
  5. Step 5: Solve for x
    x = 10,034,947.75/3,369.74
  6. Step 6: Final answer
    x = 2,977.96

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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.