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Finding the Fourth Proportional to 2,947.99, 4,412.37 and 2,167.78

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Solution

The fourth proportional to 2,947.99, 4,412.37 and 2,167.78 is: 3,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.99 : 4,412.37 = 2,167.78 : x
  2. Step 2: Convert to fraction form
    2,947.99/4,412.37 = 2,167.78/x
  3. Step 3: Cross multiply
    2,947.99x = 4,412.37 × 2,167.78
  4. Step 4: Simplify right side
    2,947.99x = 9,565,047.44
  5. Step 5: Solve for x
    x = 9,565,047.44/2,947.99
  6. Step 6: Final answer
    x = 3,244.60

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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.