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Finding the Fourth Proportional to 12,238.50, 16,889.13 and 7,270.50

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Solution

The fourth proportional to 12,238.50, 16,889.13 and 7,270.50 is: 10,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.50 : 16,889.13 = 7,270.50 : x
  2. Step 2: Convert to fraction form
    12,238.50/16,889.13 = 7,270.50/x
  3. Step 3: Cross multiply
    12,238.50x = 16,889.13 × 7,270.50
  4. Step 4: Simplify right side
    12,238.50x = 122,792,419.67
  5. Step 5: Solve for x
    x = 122,792,419.67/12,238.50
  6. Step 6: Final answer
    x = 10,033.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.