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Finding the Fourth Proportional to 27,538.70, 38,003.70 and 14,963.45

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Solution

The fourth proportional to 27,538.70, 38,003.70 and 14,963.45 is: 20,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.70 : 38,003.70 = 14,963.45 : x
  2. Step 2: Convert to fraction form
    27,538.70/38,003.70 = 14,963.45/x
  3. Step 3: Cross multiply
    27,538.70x = 38,003.70 × 14,963.45
  4. Step 4: Simplify right side
    27,538.70x = 568,666,274.75
  5. Step 5: Solve for x
    x = 568,666,274.75/27,538.70
  6. Step 6: Final answer
    x = 20,649.72

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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.