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Finding the Fourth Proportional to 3,842.32, 5,763.47 and 2,197.71

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Solution

The fourth proportional to 3,842.32, 5,763.47 and 2,197.71 is: 3,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.32 : 5,763.47 = 2,197.71 : x
  2. Step 2: Convert to fraction form
    3,842.32/5,763.47 = 2,197.71/x
  3. Step 3: Cross multiply
    3,842.32x = 5,763.47 × 2,197.71
  4. Step 4: Simplify right side
    3,842.32x = 12,666,411.55
  5. Step 5: Solve for x
    x = 12,666,411.55/3,842.32
  6. Step 6: Final answer
    x = 3,296.55

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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.