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Finding the Fourth Proportional to 5,842.52, 8,062.44 and 3,485.96

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Solution

The fourth proportional to 5,842.52, 8,062.44 and 3,485.96 is: 4,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.52 : 8,062.44 = 3,485.96 : x
  2. Step 2: Convert to fraction form
    5,842.52/8,062.44 = 3,485.96/x
  3. Step 3: Cross multiply
    5,842.52x = 8,062.44 × 3,485.96
  4. Step 4: Simplify right side
    5,842.52x = 28,105,343.34
  5. Step 5: Solve for x
    x = 28,105,343.34/5,842.52
  6. Step 6: Final answer
    x = 4,810.48

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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.