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Finding the Fourth Proportional to 2,797.60, 4,194.80 and 1,152.19

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Solution

The fourth proportional to 2,797.60, 4,194.80 and 1,152.19 is: 1,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.60 : 4,194.80 = 1,152.19 : x
  2. Step 2: Convert to fraction form
    2,797.60/4,194.80 = 1,152.19/x
  3. Step 3: Cross multiply
    2,797.60x = 4,194.80 × 1,152.19
  4. Step 4: Simplify right side
    2,797.60x = 4,833,206.61
  5. Step 5: Solve for x
    x = 4,833,206.61/2,797.60
  6. Step 6: Final answer
    x = 1,727.63

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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.