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Finding the Fourth Proportional to 2,797.10, 4,197.76 and 1,480.68

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Solution

The fourth proportional to 2,797.10, 4,197.76 and 1,480.68 is: 2,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.10 : 4,197.76 = 1,480.68 : x
  2. Step 2: Convert to fraction form
    2,797.10/4,197.76 = 1,480.68/x
  3. Step 3: Cross multiply
    2,797.10x = 4,197.76 × 1,480.68
  4. Step 4: Simplify right side
    2,797.10x = 6,215,535.58
  5. Step 5: Solve for x
    x = 6,215,535.58/2,797.10
  6. Step 6: Final answer
    x = 2,222.14

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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.