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Finding the Fourth Proportional to 6,413.60, 8,840.40 and 5,549.60

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Solution

The fourth proportional to 6,413.60, 8,840.40 and 5,549.60 is: 7,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.60 : 8,840.40 = 5,549.60 : x
  2. Step 2: Convert to fraction form
    6,413.60/8,840.40 = 5,549.60/x
  3. Step 3: Cross multiply
    6,413.60x = 8,840.40 × 5,549.60
  4. Step 4: Simplify right side
    6,413.60x = 49,060,683.84
  5. Step 5: Solve for x
    x = 49,060,683.84/6,413.60
  6. Step 6: Final answer
    x = 7,649.48

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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.