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Finding the Fourth Proportional to 2,593.50, 3,890.34 and 862.08

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Solution

The fourth proportional to 2,593.50, 3,890.34 and 862.08 is: 1,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.50 : 3,890.34 = 862.08 : x
  2. Step 2: Convert to fraction form
    2,593.50/3,890.34 = 862.08/x
  3. Step 3: Cross multiply
    2,593.50x = 3,890.34 × 862.08
  4. Step 4: Simplify right side
    2,593.50x = 3,353,784.31
  5. Step 5: Solve for x
    x = 3,353,784.31/2,593.50
  6. Step 6: Final answer
    x = 1,293.15

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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.