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Finding the Fourth Proportional to 12,413.60, 18,625.80 and 6,257.60

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Solution

The fourth proportional to 12,413.60, 18,625.80 and 6,257.60 is: 9,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.60 : 18,625.80 = 6,257.60 : x
  2. Step 2: Convert to fraction form
    12,413.60/18,625.80 = 6,257.60/x
  3. Step 3: Cross multiply
    12,413.60x = 18,625.80 × 6,257.60
  4. Step 4: Simplify right side
    12,413.60x = 116,552,806.08
  5. Step 5: Solve for x
    x = 116,552,806.08/12,413.60
  6. Step 6: Final answer
    x = 9,389.12

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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.