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Finding the Fourth Proportional to 1,282.21, 1,923.78 and 867.35

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Solution

The fourth proportional to 1,282.21, 1,923.78 and 867.35 is: 1,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.21 : 1,923.78 = 867.35 : x
  2. Step 2: Convert to fraction form
    1,282.21/1,923.78 = 867.35/x
  3. Step 3: Cross multiply
    1,282.21x = 1,923.78 × 867.35
  4. Step 4: Simplify right side
    1,282.21x = 1,668,590.58
  5. Step 5: Solve for x
    x = 1,668,590.58/1,282.21
  6. Step 6: Final answer
    x = 1,301.34

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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.