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Finding the Fourth Proportional to 1,992.22, 2,749.47 and 1,152.88

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Solution

The fourth proportional to 1,992.22, 2,749.47 and 1,152.88 is: 1,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.22 : 2,749.47 = 1,152.88 : x
  2. Step 2: Convert to fraction form
    1,992.22/2,749.47 = 1,152.88/x
  3. Step 3: Cross multiply
    1,992.22x = 2,749.47 × 1,152.88
  4. Step 4: Simplify right side
    1,992.22x = 3,169,816.48
  5. Step 5: Solve for x
    x = 3,169,816.48/1,992.22
  6. Step 6: Final answer
    x = 1,591.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.