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Finding the Fourth Proportional to 12,874.41, 19,280.16 and 11,627.82

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Solution

The fourth proportional to 12,874.41, 19,280.16 and 11,627.82 is: 17,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.41 : 19,280.16 = 11,627.82 : x
  2. Step 2: Convert to fraction form
    12,874.41/19,280.16 = 11,627.82/x
  3. Step 3: Cross multiply
    12,874.41x = 19,280.16 × 11,627.82
  4. Step 4: Simplify right side
    12,874.41x = 224,186,230.05
  5. Step 5: Solve for x
    x = 224,186,230.05/12,874.41
  6. Step 6: Final answer
    x = 17,413.32

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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.