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Finding the Fourth Proportional to 2,941.70, 4,412.55 and 861.62

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Solution

The fourth proportional to 2,941.70, 4,412.55 and 861.62 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.70 : 4,412.55 = 861.62 : x
  2. Step 2: Convert to fraction form
    2,941.70/4,412.55 = 861.62/x
  3. Step 3: Cross multiply
    2,941.70x = 4,412.55 × 861.62
  4. Step 4: Simplify right side
    2,941.70x = 3,801,941.33
  5. Step 5: Solve for x
    x = 3,801,941.33/2,941.70
  6. Step 6: Final answer
    x = 1,292.43

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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.