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Finding the Fourth Proportional to 2,941.40, 4,412.36 and 861.40

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Solution

The fourth proportional to 2,941.40, 4,412.36 and 861.40 is: 1,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.40 : 4,412.36 = 861.40 : x
  2. Step 2: Convert to fraction form
    2,941.40/4,412.36 = 861.40/x
  3. Step 3: Cross multiply
    2,941.40x = 4,412.36 × 861.40
  4. Step 4: Simplify right side
    2,941.40x = 3,800,806.90
  5. Step 5: Solve for x
    x = 3,800,806.90/2,941.40
  6. Step 6: Final answer
    x = 1,292.18

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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.