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Finding the Fourth Proportional to 2,679.77, 4,021.02 and 1,275.77

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Solution

The fourth proportional to 2,679.77, 4,021.02 and 1,275.77 is: 1,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.77 : 4,021.02 = 1,275.77 : x
  2. Step 2: Convert to fraction form
    2,679.77/4,021.02 = 1,275.77/x
  3. Step 3: Cross multiply
    2,679.77x = 4,021.02 × 1,275.77
  4. Step 4: Simplify right side
    2,679.77x = 5,129,900.12
  5. Step 5: Solve for x
    x = 5,129,900.12/2,679.77
  6. Step 6: Final answer
    x = 1,914.31

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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.