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Finding the Fourth Proportional to 10,262.49, 15,367.47 and 8,185.50

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Solution

The fourth proportional to 10,262.49, 15,367.47 and 8,185.50 is: 12,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.49 : 15,367.47 = 8,185.50 : x
  2. Step 2: Convert to fraction form
    10,262.49/15,367.47 = 8,185.50/x
  3. Step 3: Cross multiply
    10,262.49x = 15,367.47 × 8,185.50
  4. Step 4: Simplify right side
    10,262.49x = 125,790,425.69
  5. Step 5: Solve for x
    x = 125,790,425.69/10,262.49
  6. Step 6: Final answer
    x = 12,257.30

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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.