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Finding the Fourth Proportional to 8,413.40, 11,610.48 and 4,687.40

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Solution

The fourth proportional to 8,413.40, 11,610.48 and 4,687.40 is: 6,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.40 : 11,610.48 = 4,687.40 : x
  2. Step 2: Convert to fraction form
    8,413.40/11,610.48 = 4,687.40/x
  3. Step 3: Cross multiply
    8,413.40x = 11,610.48 × 4,687.40
  4. Step 4: Simplify right side
    8,413.40x = 54,422,963.95
  5. Step 5: Solve for x
    x = 54,422,963.95/8,413.40
  6. Step 6: Final answer
    x = 6,468.61

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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.