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Finding the Fourth Proportional to 7,754.33, 11,631.33 and 1,910.99

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Solution

The fourth proportional to 7,754.33, 11,631.33 and 1,910.99 is: 2,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.33 : 11,631.33 = 1,910.99 : x
  2. Step 2: Convert to fraction form
    7,754.33/11,631.33 = 1,910.99/x
  3. Step 3: Cross multiply
    7,754.33x = 11,631.33 × 1,910.99
  4. Step 4: Simplify right side
    7,754.33x = 22,227,384.40
  5. Step 5: Solve for x
    x = 22,227,384.40/7,754.33
  6. Step 6: Final answer
    x = 2,866.45

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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.