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Finding the Fourth Proportional to 2,709.97, 4,064.93 and 861.22

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Solution

The fourth proportional to 2,709.97, 4,064.93 and 861.22 is: 1,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.97 : 4,064.93 = 861.22 : x
  2. Step 2: Convert to fraction form
    2,709.97/4,064.93 = 861.22/x
  3. Step 3: Cross multiply
    2,709.97x = 4,064.93 × 861.22
  4. Step 4: Simplify right side
    2,709.97x = 3,500,784.55
  5. Step 5: Solve for x
    x = 3,500,784.55/2,709.97
  6. Step 6: Final answer
    x = 1,291.82

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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.