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Finding the Fourth Proportional to 21,920.82, 32,878.14 and 7,129.98

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Solution

The fourth proportional to 21,920.82, 32,878.14 and 7,129.98 is: 10,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.82 : 32,878.14 = 7,129.98 : x
  2. Step 2: Convert to fraction form
    21,920.82/32,878.14 = 7,129.98/x
  3. Step 3: Cross multiply
    21,920.82x = 32,878.14 × 7,129.98
  4. Step 4: Simplify right side
    21,920.82x = 234,420,480.64
  5. Step 5: Solve for x
    x = 234,420,480.64/21,920.82
  6. Step 6: Final answer
    x = 10,693.96

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1.5x scale

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.