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Finding the Fourth Proportional to 3,182.74, 4,392.63 and 1,923.98

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Solution

The fourth proportional to 3,182.74, 4,392.63 and 1,923.98 is: 2,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.74 : 4,392.63 = 1,923.98 : x
  2. Step 2: Convert to fraction form
    3,182.74/4,392.63 = 1,923.98/x
  3. Step 3: Cross multiply
    3,182.74x = 4,392.63 × 1,923.98
  4. Step 4: Simplify right side
    3,182.74x = 8,451,310.30
  5. Step 5: Solve for x
    x = 8,451,310.30/3,182.74
  6. Step 6: Final answer
    x = 2,655.36

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1.5x scale

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.