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Finding the Fourth Proportional to 35,469.78, 53,205.78 and 13,278.92

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Solution

The fourth proportional to 35,469.78, 53,205.78 and 13,278.92 is: 19,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,469.78 : 53,205.78 = 13,278.92 : x
  2. Step 2: Convert to fraction form
    35,469.78/53,205.78 = 13,278.92/x
  3. Step 3: Cross multiply
    35,469.78x = 53,205.78 × 13,278.92
  4. Step 4: Simplify right side
    35,469.78x = 706,515,030.13
  5. Step 5: Solve for x
    x = 706,515,030.13/35,469.78
  6. Step 6: Final answer
    x = 19,918.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.