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Finding the Fourth Proportional to 1,992.13, 2,749.11 and 1,152.77

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Solution

The fourth proportional to 1,992.13, 2,749.11 and 1,152.77 is: 1,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.13 : 2,749.11 = 1,152.77 : x
  2. Step 2: Convert to fraction form
    1,992.13/2,749.11 = 1,152.77/x
  3. Step 3: Cross multiply
    1,992.13x = 2,749.11 × 1,152.77
  4. Step 4: Simplify right side
    1,992.13x = 3,169,073.47
  5. Step 5: Solve for x
    x = 3,169,073.47/1,992.13
  6. Step 6: Final answer
    x = 1,590.80

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Half scale
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Double scale
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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.