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Finding the Fourth Proportional to 2,109.76, 3,164.70 and 812.20

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Solution

The fourth proportional to 2,109.76, 3,164.70 and 812.20 is: 1,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.76 : 3,164.70 = 812.20 : x
  2. Step 2: Convert to fraction form
    2,109.76/3,164.70 = 812.20/x
  3. Step 3: Cross multiply
    2,109.76x = 3,164.70 × 812.20
  4. Step 4: Simplify right side
    2,109.76x = 2,570,369.34
  5. Step 5: Solve for x
    x = 2,570,369.34/2,109.76
  6. Step 6: Final answer
    x = 1,218.32

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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.