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Finding the Fourth Proportional to 21,920.23, 32,894.42 and 21,741.86

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Solution

The fourth proportional to 21,920.23, 32,894.42 and 21,741.86 is: 32,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.23 : 32,894.42 = 21,741.86 : x
  2. Step 2: Convert to fraction form
    21,920.23/32,894.42 = 21,741.86/x
  3. Step 3: Cross multiply
    21,920.23x = 32,894.42 × 21,741.86
  4. Step 4: Simplify right side
    21,920.23x = 715,185,647.23
  5. Step 5: Solve for x
    x = 715,185,647.23/21,920.23
  6. Step 6: Final answer
    x = 32,626.74

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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.