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Finding the Fourth Proportional to 2,109.92, 3,164.87 and 876.49

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Solution

The fourth proportional to 2,109.92, 3,164.87 and 876.49 is: 1,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.92 : 3,164.87 = 876.49 : x
  2. Step 2: Convert to fraction form
    2,109.92/3,164.87 = 876.49/x
  3. Step 3: Cross multiply
    2,109.92x = 3,164.87 × 876.49
  4. Step 4: Simplify right side
    2,109.92x = 2,773,971.19
  5. Step 5: Solve for x
    x = 2,773,971.19/2,109.92
  6. Step 6: Final answer
    x = 1,314.73

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Half scale
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Double scale
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Similar ratio
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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.