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Finding the Fourth Proportional to 17,772.84, 26,661.69 and 7,911.90

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Solution

The fourth proportional to 17,772.84, 26,661.69 and 7,911.90 is: 11,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.84 : 26,661.69 = 7,911.90 : x
  2. Step 2: Convert to fraction form
    17,772.84/26,661.69 = 7,911.90/x
  3. Step 3: Cross multiply
    17,772.84x = 26,661.69 × 7,911.90
  4. Step 4: Simplify right side
    17,772.84x = 210,944,625.11
  5. Step 5: Solve for x
    x = 210,944,625.11/17,772.84
  6. Step 6: Final answer
    x = 11,868.93

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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.