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Finding the Fourth Proportional to 13,720.60, 18,934.68 and 8,413.48

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Solution

The fourth proportional to 13,720.60, 18,934.68 and 8,413.48 is: 11,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.60 : 18,934.68 = 8,413.48 : x
  2. Step 2: Convert to fraction form
    13,720.60/18,934.68 = 8,413.48/x
  3. Step 3: Cross multiply
    13,720.60x = 18,934.68 × 8,413.48
  4. Step 4: Simplify right side
    13,720.60x = 159,306,551.49
  5. Step 5: Solve for x
    x = 159,306,551.49/13,720.60
  6. Step 6: Final answer
    x = 11,610.76

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1.5x scale

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.