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Finding the Fourth Proportional to 2,809.35, 4,214.01 and 861.54

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Solution

The fourth proportional to 2,809.35, 4,214.01 and 861.54 is: 1,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.35 : 4,214.01 = 861.54 : x
  2. Step 2: Convert to fraction form
    2,809.35/4,214.01 = 861.54/x
  3. Step 3: Cross multiply
    2,809.35x = 4,214.01 × 861.54
  4. Step 4: Simplify right side
    2,809.35x = 3,630,538.18
  5. Step 5: Solve for x
    x = 3,630,538.18/2,809.35
  6. Step 6: Final answer
    x = 1,292.31

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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.