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Finding the Fourth Proportional to 3,129.18, 4,693.41 and 820.86

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Solution

The fourth proportional to 3,129.18, 4,693.41 and 820.86 is: 1,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.18 : 4,693.41 = 820.86 : x
  2. Step 2: Convert to fraction form
    3,129.18/4,693.41 = 820.86/x
  3. Step 3: Cross multiply
    3,129.18x = 4,693.41 × 820.86
  4. Step 4: Simplify right side
    3,129.18x = 3,852,632.53
  5. Step 5: Solve for x
    x = 3,852,632.53/3,129.18
  6. Step 6: Final answer
    x = 1,231.20

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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.