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Finding the Fourth Proportional to 21,878.19, 32,811.82 and 6,295.82

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Solution

The fourth proportional to 21,878.19, 32,811.82 and 6,295.82 is: 9,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.19 : 32,811.82 = 6,295.82 : x
  2. Step 2: Convert to fraction form
    21,878.19/32,811.82 = 6,295.82/x
  3. Step 3: Cross multiply
    21,878.19x = 32,811.82 × 6,295.82
  4. Step 4: Simplify right side
    21,878.19x = 206,577,117.05
  5. Step 5: Solve for x
    x = 206,577,117.05/21,878.19
  6. Step 6: Final answer
    x = 9,442.15

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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.