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Finding the Fourth Proportional to 2,678.88, 4,020.36 and 1,862.88

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Solution

The fourth proportional to 2,678.88, 4,020.36 and 1,862.88 is: 2,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.88 : 4,020.36 = 1,862.88 : x
  2. Step 2: Convert to fraction form
    2,678.88/4,020.36 = 1,862.88/x
  3. Step 3: Cross multiply
    2,678.88x = 4,020.36 × 1,862.88
  4. Step 4: Simplify right side
    2,678.88x = 7,489,448.24
  5. Step 5: Solve for x
    x = 7,489,448.24/2,678.88
  6. Step 6: Final answer
    x = 2,795.74

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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.