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Finding the Fourth Proportional to 2,659.72, 3,992.04 and 1,344.40

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Solution

The fourth proportional to 2,659.72, 3,992.04 and 1,344.40 is: 2,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.72 : 3,992.04 = 1,344.40 : x
  2. Step 2: Convert to fraction form
    2,659.72/3,992.04 = 1,344.40/x
  3. Step 3: Cross multiply
    2,659.72x = 3,992.04 × 1,344.40
  4. Step 4: Simplify right side
    2,659.72x = 5,366,888.57
  5. Step 5: Solve for x
    x = 5,366,888.57/2,659.72
  6. Step 6: Final answer
    x = 2,017.84

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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.