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Finding the Fourth Proportional to 27,938.76, 38,564.54 and 17,894.24

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Solution

The fourth proportional to 27,938.76, 38,564.54 and 17,894.24 is: 24,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938.76 : 38,564.54 = 17,894.24 : x
  2. Step 2: Convert to fraction form
    27,938.76/38,564.54 = 17,894.24/x
  3. Step 3: Cross multiply
    27,938.76x = 38,564.54 × 17,894.24
  4. Step 4: Simplify right side
    27,938.76x = 690,083,134.25
  5. Step 5: Solve for x
    x = 690,083,134.25/27,938.76
  6. Step 6: Final answer
    x = 24,699.85

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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.