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Finding the Fourth Proportional to 8,954, 12,358 and 5,227.28

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Solution

The fourth proportional to 8,954, 12,358 and 5,227.28 is: 7,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954 : 12,358 = 5,227.28 : x
  2. Step 2: Convert to fraction form
    8,954/12,358 = 5,227.28/x
  3. Step 3: Cross multiply
    8,954x = 12,358 × 5,227.28
  4. Step 4: Simplify right side
    8,954x = 64,598,726.24
  5. Step 5: Solve for x
    x = 64,598,726.24/8,954
  6. Step 6: Final answer
    x = 7,214.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.