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Finding the Fourth Proportional to 3,129.24, 4,693.54 and 820.74

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Solution

The fourth proportional to 3,129.24, 4,693.54 and 820.74 is: 1,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.24 : 4,693.54 = 820.74 : x
  2. Step 2: Convert to fraction form
    3,129.24/4,693.54 = 820.74/x
  3. Step 3: Cross multiply
    3,129.24x = 4,693.54 × 820.74
  4. Step 4: Simplify right side
    3,129.24x = 3,852,176.02
  5. Step 5: Solve for x
    x = 3,852,176.02/3,129.24
  6. Step 6: Final answer
    x = 1,231.03

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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.