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Finding the Fourth Proportional to 2,396.32, 3,594 and 665.12

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Solution

The fourth proportional to 2,396.32, 3,594 and 665.12 is: 997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.32 : 3,594 = 665.12 : x
  2. Step 2: Convert to fraction form
    2,396.32/3,594 = 665.12/x
  3. Step 3: Cross multiply
    2,396.32x = 3,594 × 665.12
  4. Step 4: Simplify right side
    2,396.32x = 2,390,441.28
  5. Step 5: Solve for x
    x = 2,390,441.28/2,396.32
  6. Step 6: Final answer
    x = 997.55

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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.