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Finding the Fourth Proportional to 12,220.50, 18,330.76 and 4,012.50

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Solution

The fourth proportional to 12,220.50, 18,330.76 and 4,012.50 is: 6,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.50 : 18,330.76 = 4,012.50 : x
  2. Step 2: Convert to fraction form
    12,220.50/18,330.76 = 4,012.50/x
  3. Step 3: Cross multiply
    12,220.50x = 18,330.76 × 4,012.50
  4. Step 4: Simplify right side
    12,220.50x = 73,552,174.50
  5. Step 5: Solve for x
    x = 73,552,174.50/12,220.50
  6. Step 6: Final answer
    x = 6,018.75

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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.