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Finding the Fourth Proportional to 16,179.72, 22,324.74 and 12,407.16

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Solution

The fourth proportional to 16,179.72, 22,324.74 and 12,407.16 is: 17,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.72 : 22,324.74 = 12,407.16 : x
  2. Step 2: Convert to fraction form
    16,179.72/22,324.74 = 12,407.16/x
  3. Step 3: Cross multiply
    16,179.72x = 22,324.74 × 12,407.16
  4. Step 4: Simplify right side
    16,179.72x = 276,986,621.14
  5. Step 5: Solve for x
    x = 276,986,621.14/16,179.72
  6. Step 6: Final answer
    x = 17,119.37

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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.