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Finding the Fourth Proportional to 3,400.72, 4,683.72 and 3,141.52

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Solution

The fourth proportional to 3,400.72, 4,683.72 and 3,141.52 is: 4,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.72 : 4,683.72 = 3,141.52 : x
  2. Step 2: Convert to fraction form
    3,400.72/4,683.72 = 3,141.52/x
  3. Step 3: Cross multiply
    3,400.72x = 4,683.72 × 3,141.52
  4. Step 4: Simplify right side
    3,400.72x = 14,714,000.05
  5. Step 5: Solve for x
    x = 14,714,000.05/3,400.72
  6. Step 6: Final answer
    x = 4,326.73

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1.5x scale

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.