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Finding the Fourth Proportional to 35,636, 49,177.80 and 21,489.44

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Solution

The fourth proportional to 35,636, 49,177.80 and 21,489.44 is: 29,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,636 : 49,177.80 = 21,489.44 : x
  2. Step 2: Convert to fraction form
    35,636/49,177.80 = 21,489.44/x
  3. Step 3: Cross multiply
    35,636x = 49,177.80 × 21,489.44
  4. Step 4: Simplify right side
    35,636x = 1,056,803,382.43
  5. Step 5: Solve for x
    x = 1,056,803,382.43/35,636
  6. Step 6: Final answer
    x = 29,655.50

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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.