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Finding the Fourth Proportional to 5,842.53, 8,062.72 and 3,190

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Solution

The fourth proportional to 5,842.53, 8,062.72 and 3,190 is: 4,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.53 : 8,062.72 = 3,190 : x
  2. Step 2: Convert to fraction form
    5,842.53/8,062.72 = 3,190/x
  3. Step 3: Cross multiply
    5,842.53x = 8,062.72 × 3,190
  4. Step 4: Simplify right side
    5,842.53x = 25,720,076.80
  5. Step 5: Solve for x
    x = 25,720,076.80/5,842.53
  6. Step 6: Final answer
    x = 4,402.22

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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.