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Finding the Fourth Proportional to 2,720, 4,080 and 896

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Solution

The fourth proportional to 2,720, 4,080 and 896 is: 1,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720 : 4,080 = 896 : x
  2. Step 2: Convert to fraction form
    2,720/4,080 = 896/x
  3. Step 3: Cross multiply
    2,720x = 4,080 × 896
  4. Step 4: Simplify right side
    2,720x = 3,655,680
  5. Step 5: Solve for x
    x = 3,655,680/2,720
  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.