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Finding the Fourth Proportional to 15,514, 21,400.62 and 9,544.50

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Solution

The fourth proportional to 15,514, 21,400.62 and 9,544.50 is: 13,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514 : 21,400.62 = 9,544.50 : x
  2. Step 2: Convert to fraction form
    15,514/21,400.62 = 9,544.50/x
  3. Step 3: Cross multiply
    15,514x = 21,400.62 × 9,544.50
  4. Step 4: Simplify right side
    15,514x = 204,258,217.59
  5. Step 5: Solve for x
    x = 204,258,217.59/15,514
  6. Step 6: Final answer
    x = 13,166.06

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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.