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Finding the Fourth Proportional to 5,413.76, 8,129.92 and 3,346

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Solution

The fourth proportional to 5,413.76, 8,129.92 and 3,346 is: 5,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.76 : 8,129.92 = 3,346 : x
  2. Step 2: Convert to fraction form
    5,413.76/8,129.92 = 3,346/x
  3. Step 3: Cross multiply
    5,413.76x = 8,129.92 × 3,346
  4. Step 4: Simplify right side
    5,413.76x = 27,202,712.32
  5. Step 5: Solve for x
    x = 27,202,712.32/5,413.76
  6. Step 6: Final answer
    x = 5,024.74

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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.