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Finding the Fourth Proportional to 7,752.77, 11,633.00 and 3,072.68

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Solution

The fourth proportional to 7,752.77, 11,633.00 and 3,072.68 is: 4,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.77 : 11,633.00 = 3,072.68 : x
  2. Step 2: Convert to fraction form
    7,752.77/11,633.00 = 3,072.68/x
  3. Step 3: Cross multiply
    7,752.77x = 11,633.00 × 3,072.68
  4. Step 4: Simplify right side
    7,752.77x = 35,744,503.14
  5. Step 5: Solve for x
    x = 35,744,503.14/7,752.77
  6. Step 6: Final answer
    x = 4,610.55

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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.