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Finding the Fourth Proportional to 6,290, 9,433.52 and 2,588.56

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Solution

The fourth proportional to 6,290, 9,433.52 and 2,588.56 is: 3,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290 : 9,433.52 = 2,588.56 : x
  2. Step 2: Convert to fraction form
    6,290/9,433.52 = 2,588.56/x
  3. Step 3: Cross multiply
    6,290x = 9,433.52 × 2,588.56
  4. Step 4: Simplify right side
    6,290x = 24,419,232.53
  5. Step 5: Solve for x
    x = 24,419,232.53/6,290
  6. Step 6: Final answer
    x = 3,882.23

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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.