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Finding the Fourth Proportional to 26,491.14, 39,731.79 and 7,767.06

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Solution

The fourth proportional to 26,491.14, 39,731.79 and 7,767.06 is: 11,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491.14 : 39,731.79 = 7,767.06 : x
  2. Step 2: Convert to fraction form
    26,491.14/39,731.79 = 7,767.06/x
  3. Step 3: Cross multiply
    26,491.14x = 39,731.79 × 7,767.06
  4. Step 4: Simplify right side
    26,491.14x = 308,599,196.84
  5. Step 5: Solve for x
    x = 308,599,196.84/26,491.14
  6. Step 6: Final answer
    x = 11,649.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.