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Finding the Fourth Proportional to 35,755.64, 49,342.78 and 19,840.20

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Solution

The fourth proportional to 35,755.64, 49,342.78 and 19,840.20 is: 27,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.64 : 49,342.78 = 19,840.20 : x
  2. Step 2: Convert to fraction form
    35,755.64/49,342.78 = 19,840.20/x
  3. Step 3: Cross multiply
    35,755.64x = 49,342.78 × 19,840.20
  4. Step 4: Simplify right side
    35,755.64x = 978,970,623.76
  5. Step 5: Solve for x
    x = 978,970,623.76/35,755.64
  6. Step 6: Final answer
    x = 27,379.47

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1.5x scale

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.