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Finding the Fourth Proportional to 12,491.56, 18,737.16 and 6,942.16

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Solution

The fourth proportional to 12,491.56, 18,737.16 and 6,942.16 is: 10,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.56 : 18,737.16 = 6,942.16 : x
  2. Step 2: Convert to fraction form
    12,491.56/18,737.16 = 6,942.16/x
  3. Step 3: Cross multiply
    12,491.56x = 18,737.16 × 6,942.16
  4. Step 4: Simplify right side
    12,491.56x = 130,076,362.67
  5. Step 5: Solve for x
    x = 130,076,362.67/12,491.56
  6. Step 6: Final answer
    x = 10,413.14

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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.