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Finding the Fourth Proportional to 21,878.20, 32,813.34 and 6,292

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Solution

The fourth proportional to 21,878.20, 32,813.34 and 6,292 is: 9,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.20 : 32,813.34 = 6,292 : x
  2. Step 2: Convert to fraction form
    21,878.20/32,813.34 = 6,292/x
  3. Step 3: Cross multiply
    21,878.20x = 32,813.34 × 6,292
  4. Step 4: Simplify right side
    21,878.20x = 206,461,535.28
  5. Step 5: Solve for x
    x = 206,461,535.28/21,878.20
  6. Step 6: Final answer
    x = 9,436.86

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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.