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Finding the Fourth Proportional to 12,747.33, 17,591.07 and 7,709.76

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Solution

The fourth proportional to 12,747.33, 17,591.07 and 7,709.76 is: 10,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.33 : 17,591.07 = 7,709.76 : x
  2. Step 2: Convert to fraction form
    12,747.33/17,591.07 = 7,709.76/x
  3. Step 3: Cross multiply
    12,747.33x = 17,591.07 × 7,709.76
  4. Step 4: Simplify right side
    12,747.33x = 135,622,927.84
  5. Step 5: Solve for x
    x = 135,622,927.84/12,747.33
  6. Step 6: Final answer
    x = 10,639.32

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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.