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Finding the Fourth Proportional to 12,472.64, 18,617.56 and 10,996.32

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Solution

The fourth proportional to 12,472.64, 18,617.56 and 10,996.32 is: 16,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.64 : 18,617.56 = 10,996.32 : x
  2. Step 2: Convert to fraction form
    12,472.64/18,617.56 = 10,996.32/x
  3. Step 3: Cross multiply
    12,472.64x = 18,617.56 × 10,996.32
  4. Step 4: Simplify right side
    12,472.64x = 204,724,647.38
  5. Step 5: Solve for x
    x = 204,724,647.38/12,472.64
  6. Step 6: Final answer
    x = 16,413.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.