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Finding the Fourth Proportional to 26,236, 39,360.66 and 7,768

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Solution

The fourth proportional to 26,236, 39,360.66 and 7,768 is: 11,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,236 : 39,360.66 = 7,768 : x
  2. Step 2: Convert to fraction form
    26,236/39,360.66 = 7,768/x
  3. Step 3: Cross multiply
    26,236x = 39,360.66 × 7,768
  4. Step 4: Simplify right side
    26,236x = 305,753,606.88
  5. Step 5: Solve for x
    x = 305,753,606.88/26,236
  6. Step 6: Final answer
    x = 11,653.97

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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.