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Finding the Fourth Proportional to 10,216, 15,324 and 3,290.50

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Solution

The fourth proportional to 10,216, 15,324 and 3,290.50 is: 4,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216 : 15,324 = 3,290.50 : x
  2. Step 2: Convert to fraction form
    10,216/15,324 = 3,290.50/x
  3. Step 3: Cross multiply
    10,216x = 15,324 × 3,290.50
  4. Step 4: Simplify right side
    10,216x = 50,423,622
  5. Step 5: Solve for x
    x = 50,423,622/10,216
  6. Step 6: Final answer
    x = 4,935.75

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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.