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Finding the Fourth Proportional to 2,112, 3,168 and 896

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Solution

The fourth proportional to 2,112, 3,168 and 896 is: 1,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112 : 3,168 = 896 : x
  2. Step 2: Convert to fraction form
    2,112/3,168 = 896/x
  3. Step 3: Cross multiply
    2,112x = 3,168 × 896
  4. Step 4: Simplify right side
    2,112x = 2,838,528
  5. Step 5: Solve for x
    x = 2,838,528/2,112
  6. Step 6: Final answer
    x = 1,344

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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.