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Finding the Fourth Proportional to 12,220.16, 18,330.56 and 3,456

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Solution

The fourth proportional to 12,220.16, 18,330.56 and 3,456 is: 5,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.16 : 18,330.56 = 3,456 : x
  2. Step 2: Convert to fraction form
    12,220.16/18,330.56 = 3,456/x
  3. Step 3: Cross multiply
    12,220.16x = 18,330.56 × 3,456
  4. Step 4: Simplify right side
    12,220.16x = 63,350,415.36
  5. Step 5: Solve for x
    x = 63,350,415.36/12,220.16
  6. Step 6: Final answer
    x = 5,184.09

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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.