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Finding the Fourth Proportional to 1,891.20, 2,823 and 1,752.22

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Solution

The fourth proportional to 1,891.20, 2,823 and 1,752.22 is: 2,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.20 : 2,823 = 1,752.22 : x
  2. Step 2: Convert to fraction form
    1,891.20/2,823 = 1,752.22/x
  3. Step 3: Cross multiply
    1,891.20x = 2,823 × 1,752.22
  4. Step 4: Simplify right side
    1,891.20x = 4,946,517.06
  5. Step 5: Solve for x
    x = 4,946,517.06/1,891.20
  6. Step 6: Final answer
    x = 2,615.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.