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Finding the Fourth Proportional to 6,413.60, 8,854.80 and 5,232.80

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Solution

The fourth proportional to 6,413.60, 8,854.80 and 5,232.80 is: 7,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.60 : 8,854.80 = 5,232.80 : x
  2. Step 2: Convert to fraction form
    6,413.60/8,854.80 = 5,232.80/x
  3. Step 3: Cross multiply
    6,413.60x = 8,854.80 × 5,232.80
  4. Step 4: Simplify right side
    6,413.60x = 46,335,397.44
  5. Step 5: Solve for x
    x = 46,335,397.44/6,413.60
  6. Step 6: Final answer
    x = 7,224.55

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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.