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Finding the Fourth Proportional to 10,999.66, 15,178.17 and 7,023.10

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Solution

The fourth proportional to 10,999.66, 15,178.17 and 7,023.10 is: 9,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.66 : 15,178.17 = 7,023.10 : x
  2. Step 2: Convert to fraction form
    10,999.66/15,178.17 = 7,023.10/x
  3. Step 3: Cross multiply
    10,999.66x = 15,178.17 × 7,023.10
  4. Step 4: Simplify right side
    10,999.66x = 106,597,805.73
  5. Step 5: Solve for x
    x = 106,597,805.73/10,999.66
  6. Step 6: Final answer
    x = 9,691.01

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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.