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Finding the Fourth Proportional to 15,736.81, 21,719.71 and 9,022.48

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Solution

The fourth proportional to 15,736.81, 21,719.71 and 9,022.48 is: 12,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.81 : 21,719.71 = 9,022.48 : x
  2. Step 2: Convert to fraction form
    15,736.81/21,719.71 = 9,022.48/x
  3. Step 3: Cross multiply
    15,736.81x = 21,719.71 × 9,022.48
  4. Step 4: Simplify right side
    15,736.81x = 195,965,653.67
  5. Step 5: Solve for x
    x = 195,965,653.67/15,736.81
  6. Step 6: Final answer
    x = 12,452.69

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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.