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Finding the Fourth Proportional to 13,801.71, 20,702.33 and 3,413.46

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Solution

The fourth proportional to 13,801.71, 20,702.33 and 3,413.46 is: 5,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.71 : 20,702.33 = 3,413.46 : x
  2. Step 2: Convert to fraction form
    13,801.71/20,702.33 = 3,413.46/x
  3. Step 3: Cross multiply
    13,801.71x = 20,702.33 × 3,413.46
  4. Step 4: Simplify right side
    13,801.71x = 70,666,558.29
  5. Step 5: Solve for x
    x = 70,666,558.29/13,801.71
  6. Step 6: Final answer
    x = 5,120.13

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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.