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Finding the Fourth Proportional to 3,160.85, 4,741.77 and 1,406.46

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Solution

The fourth proportional to 3,160.85, 4,741.77 and 1,406.46 is: 2,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.85 : 4,741.77 = 1,406.46 : x
  2. Step 2: Convert to fraction form
    3,160.85/4,741.77 = 1,406.46/x
  3. Step 3: Cross multiply
    3,160.85x = 4,741.77 × 1,406.46
  4. Step 4: Simplify right side
    3,160.85x = 6,669,121.02
  5. Step 5: Solve for x
    x = 6,669,121.02/3,160.85
  6. Step 6: Final answer
    x = 2,109.92

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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.