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Finding the Fourth Proportional to 22,310.64, 33,421.33 and 13,421.07

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Solution

The fourth proportional to 22,310.64, 33,421.33 and 13,421.07 is: 20,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.64 : 33,421.33 = 13,421.07 : x
  2. Step 2: Convert to fraction form
    22,310.64/33,421.33 = 13,421.07/x
  3. Step 3: Cross multiply
    22,310.64x = 33,421.33 × 13,421.07
  4. Step 4: Simplify right side
    22,310.64x = 448,549,975.87
  5. Step 5: Solve for x
    x = 448,549,975.87/22,310.64
  6. Step 6: Final answer
    x = 20,104.76

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