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Finding the Fourth Proportional to 8,176.29, 11,278.49 and 5,783.58

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Solution

The fourth proportional to 8,176.29, 11,278.49 and 5,783.58 is: 7,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.29 : 11,278.49 = 5,783.58 : x
  2. Step 2: Convert to fraction form
    8,176.29/11,278.49 = 5,783.58/x
  3. Step 3: Cross multiply
    8,176.29x = 11,278.49 × 5,783.58
  4. Step 4: Simplify right side
    8,176.29x = 65,230,020.28
  5. Step 5: Solve for x
    x = 65,230,020.28/8,176.29
  6. Step 6: Final answer
    x = 7,977.95

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