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Finding the Fourth Proportional to 35,720.96, 49,294.84 and 19,805

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Solution

The fourth proportional to 35,720.96, 49,294.84 and 19,805 is: 27,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.96 : 49,294.84 = 19,805 : x
  2. Step 2: Convert to fraction form
    35,720.96/49,294.84 = 19,805/x
  3. Step 3: Cross multiply
    35,720.96x = 49,294.84 × 19,805
  4. Step 4: Simplify right side
    35,720.96x = 976,284,306.20
  5. Step 5: Solve for x
    x = 976,284,306.20/35,720.96
  6. Step 6: Final answer
    x = 27,330.85

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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.