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Finding the Fourth Proportional to 2,109.60, 3,164.40 and 793.15

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Solution

The fourth proportional to 2,109.60, 3,164.40 and 793.15 is: 1,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.60 : 3,164.40 = 793.15 : x
  2. Step 2: Convert to fraction form
    2,109.60/3,164.40 = 793.15/x
  3. Step 3: Cross multiply
    2,109.60x = 3,164.40 × 793.15
  4. Step 4: Simplify right side
    2,109.60x = 2,509,835.95
  5. Step 5: Solve for x
    x = 2,509,835.95/2,109.60
  6. Step 6: Final answer
    x = 1,189.72

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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.