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Finding the Fourth Proportional to 7,751.13, 11,619.66 and 2,817.28

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Solution

The fourth proportional to 7,751.13, 11,619.66 and 2,817.28 is: 4,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.13 : 11,619.66 = 2,817.28 : x
  2. Step 2: Convert to fraction form
    7,751.13/11,619.66 = 2,817.28/x
  3. Step 3: Cross multiply
    7,751.13x = 11,619.66 × 2,817.28
  4. Step 4: Simplify right side
    7,751.13x = 32,735,864.77
  5. Step 5: Solve for x
    x = 32,735,864.77/7,751.13
  6. Step 6: Final answer
    x = 4,223.37

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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.