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Finding the Fourth Proportional to 10,219.50, 15,329.25 and 3,294

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Solution

The fourth proportional to 10,219.50, 15,329.25 and 3,294 is: 4,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.50 : 15,329.25 = 3,294 : x
  2. Step 2: Convert to fraction form
    10,219.50/15,329.25 = 3,294/x
  3. Step 3: Cross multiply
    10,219.50x = 15,329.25 × 3,294
  4. Step 4: Simplify right side
    10,219.50x = 50,494,549.50
  5. Step 5: Solve for x
    x = 50,494,549.50/10,219.50
  6. Step 6: Final answer
    x = 4,941

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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.