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Finding the Fourth Proportional to 35,909, 49,557.70 and 21,005

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Solution

The fourth proportional to 35,909, 49,557.70 and 21,005 is: 28,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909 : 49,557.70 = 21,005 : x
  2. Step 2: Convert to fraction form
    35,909/49,557.70 = 21,005/x
  3. Step 3: Cross multiply
    35,909x = 49,557.70 × 21,005
  4. Step 4: Simplify right side
    35,909x = 1,040,959,488.50
  5. Step 5: Solve for x
    x = 1,040,959,488.50/35,909
  6. Step 6: Final answer
    x = 28,988.82

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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.