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Finding the Fourth Proportional to 8,176.56, 11,274.48 and 5,188.56

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Solution

The fourth proportional to 8,176.56, 11,274.48 and 5,188.56 is: 7,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.56 : 11,274.48 = 5,188.56 : x
  2. Step 2: Convert to fraction form
    8,176.56/11,274.48 = 5,188.56/x
  3. Step 3: Cross multiply
    8,176.56x = 11,274.48 × 5,188.56
  4. Step 4: Simplify right side
    8,176.56x = 58,498,315.95
  5. Step 5: Solve for x
    x = 58,498,315.95/8,176.56
  6. Step 6: Final answer
    x = 7,154.39

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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.