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Finding the Fourth Proportional to 8,652.61, 12,977.50 and 2,413.05

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Solution

The fourth proportional to 8,652.61, 12,977.50 and 2,413.05 is: 3,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.61 : 12,977.50 = 2,413.05 : x
  2. Step 2: Convert to fraction form
    8,652.61/12,977.50 = 2,413.05/x
  3. Step 3: Cross multiply
    8,652.61x = 12,977.50 × 2,413.05
  4. Step 4: Simplify right side
    8,652.61x = 31,315,356.38
  5. Step 5: Solve for x
    x = 31,315,356.38/8,652.61
  6. Step 6: Final answer
    x = 3,619.18

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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.