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Finding the Fourth Proportional to 10,891.82, 15,030.15 and 6,176.42

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Solution

The fourth proportional to 10,891.82, 15,030.15 and 6,176.42 is: 8,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.82 : 15,030.15 = 6,176.42 : x
  2. Step 2: Convert to fraction form
    10,891.82/15,030.15 = 6,176.42/x
  3. Step 3: Cross multiply
    10,891.82x = 15,030.15 × 6,176.42
  4. Step 4: Simplify right side
    10,891.82x = 92,832,519.06
  5. Step 5: Solve for x
    x = 92,832,519.06/10,891.82
  6. Step 6: Final answer
    x = 8,523.14

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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.