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Finding the Fourth Proportional to 3,239.14, 4,859.52 and 930.64

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Solution

The fourth proportional to 3,239.14, 4,859.52 and 930.64 is: 1,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.14 : 4,859.52 = 930.64 : x
  2. Step 2: Convert to fraction form
    3,239.14/4,859.52 = 930.64/x
  3. Step 3: Cross multiply
    3,239.14x = 4,859.52 × 930.64
  4. Step 4: Simplify right side
    3,239.14x = 4,522,463.69
  5. Step 5: Solve for x
    x = 4,522,463.69/3,239.14
  6. Step 6: Final answer
    x = 1,396.19

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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.