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Finding the Fourth Proportional to 35,754.64, 49,341.40 and 19,839.20

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Solution

The fourth proportional to 35,754.64, 49,341.40 and 19,839.20 is: 27,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.64 : 49,341.40 = 19,839.20 : x
  2. Step 2: Convert to fraction form
    35,754.64/49,341.40 = 19,839.20/x
  3. Step 3: Cross multiply
    35,754.64x = 49,341.40 × 19,839.20
  4. Step 4: Simplify right side
    35,754.64x = 978,893,902.88
  5. Step 5: Solve for x
    x = 978,893,902.88/35,754.64
  6. Step 6: Final answer
    x = 27,378.09

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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.