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Finding the Fourth Proportional to 4,080, 6,120 and 1,344

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Solution

The fourth proportional to 4,080, 6,120 and 1,344 is: 2,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 6,120 = 1,344 : x
  2. Step 2: Convert to fraction form
    4,080/6,120 = 1,344/x
  3. Step 3: Cross multiply
    4,080x = 6,120 × 1,344
  4. Step 4: Simplify right side
    4,080x = 8,225,280
  5. Step 5: Solve for x
    x = 8,225,280/4,080
  6. Step 6: Final answer
    x = 2,016

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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.