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Finding the Fourth Proportional to 12,225, 16,865.28 and 9,387.48

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Solution

The fourth proportional to 12,225, 16,865.28 and 9,387.48 is: 12,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225 : 16,865.28 = 9,387.48 : x
  2. Step 2: Convert to fraction form
    12,225/16,865.28 = 9,387.48/x
  3. Step 3: Cross multiply
    12,225x = 16,865.28 × 9,387.48
  4. Step 4: Simplify right side
    12,225x = 158,322,478.69
  5. Step 5: Solve for x
    x = 158,322,478.69/12,225
  6. Step 6: Final answer
    x = 12,950.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.