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Finding the Fourth Proportional to 1,881.97, 2,823.92 and 772.20

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Solution

The fourth proportional to 1,881.97, 2,823.92 and 772.20 is: 1,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.97 : 2,823.92 = 772.20 : x
  2. Step 2: Convert to fraction form
    1,881.97/2,823.92 = 772.20/x
  3. Step 3: Cross multiply
    1,881.97x = 2,823.92 × 772.20
  4. Step 4: Simplify right side
    1,881.97x = 2,180,616.90
  5. Step 5: Solve for x
    x = 2,180,616.90/1,881.97
  6. Step 6: Final answer
    x = 1,158.69

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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.