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Finding the Fourth Proportional to 13,221.64, 19,804.38 and 9,929.80

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Solution

The fourth proportional to 13,221.64, 19,804.38 and 9,929.80 is: 14,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.64 : 19,804.38 = 9,929.80 : x
  2. Step 2: Convert to fraction form
    13,221.64/19,804.38 = 9,929.80/x
  3. Step 3: Cross multiply
    13,221.64x = 19,804.38 × 9,929.80
  4. Step 4: Simplify right side
    13,221.64x = 196,653,532.52
  5. Step 5: Solve for x
    x = 196,653,532.52/13,221.64
  6. Step 6: Final answer
    x = 14,873.61

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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.