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Finding the Fourth Proportional to 31,608.90, 47,413.35 and 27,720.90

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Solution

The fourth proportional to 31,608.90, 47,413.35 and 27,720.90 is: 41,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.90 : 47,413.35 = 27,720.90 : x
  2. Step 2: Convert to fraction form
    31,608.90/47,413.35 = 27,720.90/x
  3. Step 3: Cross multiply
    31,608.90x = 47,413.35 × 27,720.90
  4. Step 4: Simplify right side
    31,608.90x = 1,314,340,734.02
  5. Step 5: Solve for x
    x = 1,314,340,734.02/31,608.90
  6. Step 6: Final answer
    x = 41,581.35

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1.5x scale

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.