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Finding the Fourth Proportional to 10,286.37, 15,404.95 and 9,769.69

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Solution

The fourth proportional to 10,286.37, 15,404.95 and 9,769.69 is: 14,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.37 : 15,404.95 = 9,769.69 : x
  2. Step 2: Convert to fraction form
    10,286.37/15,404.95 = 9,769.69/x
  3. Step 3: Cross multiply
    10,286.37x = 15,404.95 × 9,769.69
  4. Step 4: Simplify right side
    10,286.37x = 150,501,585.97
  5. Step 5: Solve for x
    x = 150,501,585.97/10,286.37
  6. Step 6: Final answer
    x = 14,631.17

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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.