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Finding the Fourth Proportional to 3,286, 4,928.98 and 946.06

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Solution

The fourth proportional to 3,286, 4,928.98 and 946.06 is: 1,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,928.98 = 946.06 : x
  2. Step 2: Convert to fraction form
    3,286/4,928.98 = 946.06/x
  3. Step 3: Cross multiply
    3,286x = 4,928.98 × 946.06
  4. Step 4: Simplify right side
    3,286x = 4,663,110.82
  5. Step 5: Solve for x
    x = 4,663,110.82/3,286
  6. Step 6: Final answer
    x = 1,419.08

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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.