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Finding the Fourth Proportional to 6,392, 9,588.88 and 2,231.40

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Solution

The fourth proportional to 6,392, 9,588.88 and 2,231.40 is: 3,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392 : 9,588.88 = 2,231.40 : x
  2. Step 2: Convert to fraction form
    6,392/9,588.88 = 2,231.40/x
  3. Step 3: Cross multiply
    6,392x = 9,588.88 × 2,231.40
  4. Step 4: Simplify right side
    6,392x = 21,396,626.83
  5. Step 5: Solve for x
    x = 21,396,626.83/6,392
  6. Step 6: Final answer
    x = 3,347.41

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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.