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Finding the Fourth Proportional to 27,824.96, 38,393.12 and 16,642.88

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Solution

The fourth proportional to 27,824.96, 38,393.12 and 16,642.88 is: 22,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.96 : 38,393.12 = 16,642.88 : x
  2. Step 2: Convert to fraction form
    27,824.96/38,393.12 = 16,642.88/x
  3. Step 3: Cross multiply
    27,824.96x = 38,393.12 × 16,642.88
  4. Step 4: Simplify right side
    27,824.96x = 638,972,088.99
  5. Step 5: Solve for x
    x = 638,972,088.99/27,824.96
  6. Step 6: Final answer
    x = 22,963.99

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