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Finding the Fourth Proportional to 2,797.12, 4,194.98 and 948.20

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Solution

The fourth proportional to 2,797.12, 4,194.98 and 948.20 is: 1,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.12 : 4,194.98 = 948.20 : x
  2. Step 2: Convert to fraction form
    2,797.12/4,194.98 = 948.20/x
  3. Step 3: Cross multiply
    2,797.12x = 4,194.98 × 948.20
  4. Step 4: Simplify right side
    2,797.12x = 3,977,680.04
  5. Step 5: Solve for x
    x = 3,977,680.04/2,797.12
  6. Step 6: Final answer
    x = 1,422.06

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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.