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Finding the Fourth Proportional to 15,930.81, 21,986.24 and 9,216.32

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Solution

The fourth proportional to 15,930.81, 21,986.24 and 9,216.32 is: 12,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.81 : 21,986.24 = 9,216.32 : x
  2. Step 2: Convert to fraction form
    15,930.81/21,986.24 = 9,216.32/x
  3. Step 3: Cross multiply
    15,930.81x = 21,986.24 × 9,216.32
  4. Step 4: Simplify right side
    15,930.81x = 202,632,067.42
  5. Step 5: Solve for x
    x = 202,632,067.42/15,930.81
  6. Step 6: Final answer
    x = 12,719.51

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1.5x scale

Why These Related Problems?

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