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Finding the Fourth Proportional to 19,866.92, 29,826.44 and 13,322.40

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Solution

The fourth proportional to 19,866.92, 29,826.44 and 13,322.40 is: 20,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.92 : 29,826.44 = 13,322.40 : x
  2. Step 2: Convert to fraction form
    19,866.92/29,826.44 = 13,322.40/x
  3. Step 3: Cross multiply
    19,866.92x = 29,826.44 × 13,322.40
  4. Step 4: Simplify right side
    19,866.92x = 397,359,764.26
  5. Step 5: Solve for x
    x = 397,359,764.26/19,866.92
  6. Step 6: Final answer
    x = 20,001.08

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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.