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Finding the Fourth Proportional to 2,593.63, 3,890.64 and 862.25

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Solution

The fourth proportional to 2,593.63, 3,890.64 and 862.25 is: 1,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.63 : 3,890.64 = 862.25 : x
  2. Step 2: Convert to fraction form
    2,593.63/3,890.64 = 862.25/x
  3. Step 3: Cross multiply
    2,593.63x = 3,890.64 × 862.25
  4. Step 4: Simplify right side
    2,593.63x = 3,354,704.34
  5. Step 5: Solve for x
    x = 3,354,704.34/2,593.63
  6. Step 6: Final answer
    x = 1,293.44

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Similar ratio
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1.5x scale

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.