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Finding the Fourth Proportional to 14,216, 21,324.32 and 6,419.52

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Solution

The fourth proportional to 14,216, 21,324.32 and 6,419.52 is: 9,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 21,324.32 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    14,216/21,324.32 = 6,419.52/x
  3. Step 3: Cross multiply
    14,216x = 21,324.32 × 6,419.52
  4. Step 4: Simplify right side
    14,216x = 136,891,898.73
  5. Step 5: Solve for x
    x = 136,891,898.73/14,216
  6. Step 6: Final answer
    x = 9,629.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.