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Finding the Fourth Proportional to 2,923.39, 4,385.12 and 843.42

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Solution

The fourth proportional to 2,923.39, 4,385.12 and 843.42 is: 1,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.39 : 4,385.12 = 843.42 : x
  2. Step 2: Convert to fraction form
    2,923.39/4,385.12 = 843.42/x
  3. Step 3: Cross multiply
    2,923.39x = 4,385.12 × 843.42
  4. Step 4: Simplify right side
    2,923.39x = 3,698,497.91
  5. Step 5: Solve for x
    x = 3,698,497.91/2,923.39
  6. Step 6: Final answer
    x = 1,265.14

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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.