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Finding the Fourth Proportional to 10,604.62, 15,907.13 and 3,209.05

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Solution

The fourth proportional to 10,604.62, 15,907.13 and 3,209.05 is: 4,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.62 : 15,907.13 = 3,209.05 : x
  2. Step 2: Convert to fraction form
    10,604.62/15,907.13 = 3,209.05/x
  3. Step 3: Cross multiply
    10,604.62x = 15,907.13 × 3,209.05
  4. Step 4: Simplify right side
    10,604.62x = 51,046,679.95
  5. Step 5: Solve for x
    x = 51,046,679.95/10,604.62
  6. Step 6: Final answer
    x = 4,813.63

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1.5x scale

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.