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Finding the Fourth Proportional to 35,413.25, 53,129 and 13,226.78

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Solution

The fourth proportional to 35,413.25, 53,129 and 13,226.78 is: 19,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,413.25 : 53,129 = 13,226.78 : x
  2. Step 2: Convert to fraction form
    35,413.25/53,129 = 13,226.78/x
  3. Step 3: Cross multiply
    35,413.25x = 53,129 × 13,226.78
  4. Step 4: Simplify right side
    35,413.25x = 702,725,594.62
  5. Step 5: Solve for x
    x = 702,725,594.62/35,413.25
  6. Step 6: Final answer
    x = 19,843.58

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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.