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Finding the Fourth Proportional to 2,947.75, 4,421.99 and 895.75

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Solution

The fourth proportional to 2,947.75, 4,421.99 and 895.75 is: 1,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.75 : 4,421.99 = 895.75 : x
  2. Step 2: Convert to fraction form
    2,947.75/4,421.99 = 895.75/x
  3. Step 3: Cross multiply
    2,947.75x = 4,421.99 × 895.75
  4. Step 4: Simplify right side
    2,947.75x = 3,960,997.54
  5. Step 5: Solve for x
    x = 3,960,997.54/2,947.75
  6. Step 6: Final answer
    x = 1,343.74

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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.