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Finding the Fourth Proportional to 22,007.78, 33,011.60 and 7,786.81

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Solution

The fourth proportional to 22,007.78, 33,011.60 and 7,786.81 is: 11,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.78 : 33,011.60 = 7,786.81 : x
  2. Step 2: Convert to fraction form
    22,007.78/33,011.60 = 7,786.81/x
  3. Step 3: Cross multiply
    22,007.78x = 33,011.60 × 7,786.81
  4. Step 4: Simplify right side
    22,007.78x = 257,054,935.53
  5. Step 5: Solve for x
    x = 257,054,935.53/22,007.78
  6. Step 6: Final answer
    x = 11,680.19

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1.5x scale

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.