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Finding the Fourth Proportional to 2,109.79, 3,165.29 and 812.17

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Solution

The fourth proportional to 2,109.79, 3,165.29 and 812.17 is: 1,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.79 : 3,165.29 = 812.17 : x
  2. Step 2: Convert to fraction form
    2,109.79/3,165.29 = 812.17/x
  3. Step 3: Cross multiply
    2,109.79x = 3,165.29 × 812.17
  4. Step 4: Simplify right side
    2,109.79x = 2,570,753.58
  5. Step 5: Solve for x
    x = 2,570,753.58/2,109.79
  6. Step 6: Final answer
    x = 1,218.49

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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.