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Finding the Fourth Proportional to 1,911.42, 2,867.40 and 871.42

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Solution

The fourth proportional to 1,911.42, 2,867.40 and 871.42 is: 1,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.42 : 2,867.40 = 871.42 : x
  2. Step 2: Convert to fraction form
    1,911.42/2,867.40 = 871.42/x
  3. Step 3: Cross multiply
    1,911.42x = 2,867.40 × 871.42
  4. Step 4: Simplify right side
    1,911.42x = 2,498,709.71
  5. Step 5: Solve for x
    x = 2,498,709.71/1,911.42
  6. Step 6: Final answer
    x = 1,307.25

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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.