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Finding the Fourth Proportional to 7,752.77, 11,629.16 and 1,909.38

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Solution

The fourth proportional to 7,752.77, 11,629.16 and 1,909.38 is: 2,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.77 : 11,629.16 = 1,909.38 : x
  2. Step 2: Convert to fraction form
    7,752.77/11,629.16 = 1,909.38/x
  3. Step 3: Cross multiply
    7,752.77x = 11,629.16 × 1,909.38
  4. Step 4: Simplify right side
    7,752.77x = 22,204,475.97
  5. Step 5: Solve for x
    x = 22,204,475.97/7,752.77
  6. Step 6: Final answer
    x = 2,864.07

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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.