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Finding the Fourth Proportional to 10,604.85, 15,895.53 and 8,149.74

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Solution

The fourth proportional to 10,604.85, 15,895.53 and 8,149.74 is: 12,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.85 : 15,895.53 = 8,149.74 : x
  2. Step 2: Convert to fraction form
    10,604.85/15,895.53 = 8,149.74/x
  3. Step 3: Cross multiply
    10,604.85x = 15,895.53 × 8,149.74
  4. Step 4: Simplify right side
    10,604.85x = 129,544,436.66
  5. Step 5: Solve for x
    x = 129,544,436.66/10,604.85
  6. Step 6: Final answer
    x = 12,215.58

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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.