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Finding the Fourth Proportional to 2,709.77, 4,065.27 and 861

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Solution

The fourth proportional to 2,709.77, 4,065.27 and 861 is: 1,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.77 : 4,065.27 = 861 : x
  2. Step 2: Convert to fraction form
    2,709.77/4,065.27 = 861/x
  3. Step 3: Cross multiply
    2,709.77x = 4,065.27 × 861
  4. Step 4: Simplify right side
    2,709.77x = 3,500,197.47
  5. Step 5: Solve for x
    x = 3,500,197.47/2,709.77
  6. Step 6: Final answer
    x = 1,291.70

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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.