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Finding the Fourth Proportional to 35,393.31, 48,844.78 and 20,288.48

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Solution

The fourth proportional to 35,393.31, 48,844.78 and 20,288.48 is: 27,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,393.31 : 48,844.78 = 20,288.48 : x
  2. Step 2: Convert to fraction form
    35,393.31/48,844.78 = 20,288.48/x
  3. Step 3: Cross multiply
    35,393.31x = 48,844.78 × 20,288.48
  4. Step 4: Simplify right side
    35,393.31x = 990,986,047.19
  5. Step 5: Solve for x
    x = 990,986,047.19/35,393.31
  6. Step 6: Final answer
    x = 27,999.25

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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.