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Finding the Fourth Proportional to 8,654, 12,978.84 and 2,413.76

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Solution

The fourth proportional to 8,654, 12,978.84 and 2,413.76 is: 3,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654 : 12,978.84 = 2,413.76 : x
  2. Step 2: Convert to fraction form
    8,654/12,978.84 = 2,413.76/x
  3. Step 3: Cross multiply
    8,654x = 12,978.84 × 2,413.76
  4. Step 4: Simplify right side
    8,654x = 31,327,804.84
  5. Step 5: Solve for x
    x = 31,327,804.84/8,654
  6. Step 6: Final answer
    x = 3,620.04

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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.