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Finding the Fourth Proportional to 3,842.75, 5,762.98 and 1,650.96

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Solution

The fourth proportional to 3,842.75, 5,762.98 and 1,650.96 is: 2,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.75 : 5,762.98 = 1,650.96 : x
  2. Step 2: Convert to fraction form
    3,842.75/5,762.98 = 1,650.96/x
  3. Step 3: Cross multiply
    3,842.75x = 5,762.98 × 1,650.96
  4. Step 4: Simplify right side
    3,842.75x = 9,514,445.33
  5. Step 5: Solve for x
    x = 9,514,445.33/3,842.75
  6. Step 6: Final answer
    x = 2,475.95

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1.5x scale

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.