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Finding the Fourth Proportional to 11,451.24, 15,802.79 and 6,974.15

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Solution

The fourth proportional to 11,451.24, 15,802.79 and 6,974.15 is: 9,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.24 : 15,802.79 = 6,974.15 : x
  2. Step 2: Convert to fraction form
    11,451.24/15,802.79 = 6,974.15/x
  3. Step 3: Cross multiply
    11,451.24x = 15,802.79 × 6,974.15
  4. Step 4: Simplify right side
    11,451.24x = 110,210,913.99
  5. Step 5: Solve for x
    x = 110,210,913.99/11,451.24
  6. Step 6: Final answer
    x = 9,624.37

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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.