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Finding the Fourth Proportional to 1,519.36, 2,278.94 and 871.56

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Solution

The fourth proportional to 1,519.36, 2,278.94 and 871.56 is: 1,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.36 : 2,278.94 = 871.56 : x
  2. Step 2: Convert to fraction form
    1,519.36/2,278.94 = 871.56/x
  3. Step 3: Cross multiply
    1,519.36x = 2,278.94 × 871.56
  4. Step 4: Simplify right side
    1,519.36x = 1,986,228.59
  5. Step 5: Solve for x
    x = 1,986,228.59/1,519.36
  6. Step 6: Final answer
    x = 1,307.28

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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.