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Finding the Fourth Proportional to 14,948, 20,629.68 and 8,324

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Solution

The fourth proportional to 14,948, 20,629.68 and 8,324 is: 11,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948 : 20,629.68 = 8,324 : x
  2. Step 2: Convert to fraction form
    14,948/20,629.68 = 8,324/x
  3. Step 3: Cross multiply
    14,948x = 20,629.68 × 8,324
  4. Step 4: Simplify right side
    14,948x = 171,721,456.32
  5. Step 5: Solve for x
    x = 171,721,456.32/14,948
  6. Step 6: Final answer
    x = 11,487.92

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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.