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Finding the Fourth Proportional to 2,119.49, 3,180.65 and 871.11

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Solution

The fourth proportional to 2,119.49, 3,180.65 and 871.11 is: 1,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.49 : 3,180.65 = 871.11 : x
  2. Step 2: Convert to fraction form
    2,119.49/3,180.65 = 871.11/x
  3. Step 3: Cross multiply
    2,119.49x = 3,180.65 × 871.11
  4. Step 4: Simplify right side
    2,119.49x = 2,770,679.74
  5. Step 5: Solve for x
    x = 2,770,679.74/2,119.49
  6. Step 6: Final answer
    x = 1,307.24

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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.