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Finding the Fourth Proportional to 3,200.75, 4,798.19 and 2,710.31

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Solution

The fourth proportional to 3,200.75, 4,798.19 and 2,710.31 is: 4,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.75 : 4,798.19 = 2,710.31 : x
  2. Step 2: Convert to fraction form
    3,200.75/4,798.19 = 2,710.31/x
  3. Step 3: Cross multiply
    3,200.75x = 4,798.19 × 2,710.31
  4. Step 4: Simplify right side
    3,200.75x = 13,004,565.12
  5. Step 5: Solve for x
    x = 13,004,565.12/3,200.75
  6. Step 6: Final answer
    x = 4,062.98

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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.