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Finding the Fourth Proportional to 2,914.75, 4,372.19 and 862.75

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Solution

The fourth proportional to 2,914.75, 4,372.19 and 862.75 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.75 : 4,372.19 = 862.75 : x
  2. Step 2: Convert to fraction form
    2,914.75/4,372.19 = 862.75/x
  3. Step 3: Cross multiply
    2,914.75x = 4,372.19 × 862.75
  4. Step 4: Simplify right side
    2,914.75x = 3,772,106.92
  5. Step 5: Solve for x
    x = 3,772,106.92/2,914.75
  6. Step 6: Final answer
    x = 1,294.14

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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.