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Finding the Fourth Proportional to 12,256, 18,360.78 and 7,243.38

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Solution

The fourth proportional to 12,256, 18,360.78 and 7,243.38 is: 10,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 18,360.78 = 7,243.38 : x
  2. Step 2: Convert to fraction form
    12,256/18,360.78 = 7,243.38/x
  3. Step 3: Cross multiply
    12,256x = 18,360.78 × 7,243.38
  4. Step 4: Simplify right side
    12,256x = 132,994,106.64
  5. Step 5: Solve for x
    x = 132,994,106.64/12,256
  6. Step 6: Final answer
    x = 10,851.35

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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.