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Finding the Fourth Proportional to 15,186.88, 22,772.22 and 7,788.34

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Solution

The fourth proportional to 15,186.88, 22,772.22 and 7,788.34 is: 11,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.88 : 22,772.22 = 7,788.34 : x
  2. Step 2: Convert to fraction form
    15,186.88/22,772.22 = 7,788.34/x
  3. Step 3: Cross multiply
    15,186.88x = 22,772.22 × 7,788.34
  4. Step 4: Simplify right side
    15,186.88x = 177,357,791.91
  5. Step 5: Solve for x
    x = 177,357,791.91/15,186.88
  6. Step 6: Final answer
    x = 11,678.36

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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.