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Finding the Fourth Proportional to 8,413.92, 12,616.70 and 4,905.14

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Solution

The fourth proportional to 8,413.92, 12,616.70 and 4,905.14 is: 7,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.92 : 12,616.70 = 4,905.14 : x
  2. Step 2: Convert to fraction form
    8,413.92/12,616.70 = 4,905.14/x
  3. Step 3: Cross multiply
    8,413.92x = 12,616.70 × 4,905.14
  4. Step 4: Simplify right side
    8,413.92x = 61,886,592.23
  5. Step 5: Solve for x
    x = 61,886,592.23/8,413.92
  6. Step 6: Final answer
    x = 7,355.26

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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.