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Finding the Fourth Proportional to 3,182.46, 4,390.74 and 1,923.90

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Solution

The fourth proportional to 3,182.46, 4,390.74 and 1,923.90 is: 2,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.46 : 4,390.74 = 1,923.90 : x
  2. Step 2: Convert to fraction form
    3,182.46/4,390.74 = 1,923.90/x
  3. Step 3: Cross multiply
    3,182.46x = 4,390.74 × 1,923.90
  4. Step 4: Simplify right side
    3,182.46x = 8,447,344.69
  5. Step 5: Solve for x
    x = 8,447,344.69/3,182.46
  6. Step 6: Final answer
    x = 2,654.34

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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.