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Finding the Fourth Proportional to 35,661.80, 49,177.22 and 21,506.28

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Solution

The fourth proportional to 35,661.80, 49,177.22 and 21,506.28 is: 29,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,661.80 : 49,177.22 = 21,506.28 : x
  2. Step 2: Convert to fraction form
    35,661.80/49,177.22 = 21,506.28/x
  3. Step 3: Cross multiply
    35,661.80x = 49,177.22 × 21,506.28
  4. Step 4: Simplify right side
    35,661.80x = 1,057,619,062.94
  5. Step 5: Solve for x
    x = 1,057,619,062.94/35,661.80
  6. Step 6: Final answer
    x = 29,656.92

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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.