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Finding the Fourth Proportional to 27,775, 38,282.88 and 21,058.48

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Solution

The fourth proportional to 27,775, 38,282.88 and 21,058.48 is: 29,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775 : 38,282.88 = 21,058.48 : x
  2. Step 2: Convert to fraction form
    27,775/38,282.88 = 21,058.48/x
  3. Step 3: Cross multiply
    27,775x = 38,282.88 × 21,058.48
  4. Step 4: Simplify right side
    27,775x = 806,179,262.82
  5. Step 5: Solve for x
    x = 806,179,262.82/27,775
  6. Step 6: Final answer
    x = 29,025.36

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1.5x scale

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.