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Finding the Fourth Proportional to 27,774, 38,281.50 and 21,057.48

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Solution

The fourth proportional to 27,774, 38,281.50 and 21,057.48 is: 29,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 38,281.50 = 21,057.48 : x
  2. Step 2: Convert to fraction form
    27,774/38,281.50 = 21,057.48/x
  3. Step 3: Cross multiply
    27,774x = 38,281.50 × 21,057.48
  4. Step 4: Simplify right side
    27,774x = 806,111,920.62
  5. Step 5: Solve for x
    x = 806,111,920.62/27,774
  6. Step 6: Final answer
    x = 29,023.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.