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Finding the Fourth Proportional to 12,211.50, 16,851.90 and 6,622.50

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Solution

The fourth proportional to 12,211.50, 16,851.90 and 6,622.50 is: 9,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.50 : 16,851.90 = 6,622.50 : x
  2. Step 2: Convert to fraction form
    12,211.50/16,851.90 = 6,622.50/x
  3. Step 3: Cross multiply
    12,211.50x = 16,851.90 × 6,622.50
  4. Step 4: Simplify right side
    12,211.50x = 111,601,707.75
  5. Step 5: Solve for x
    x = 111,601,707.75/12,211.50
  6. Step 6: Final answer
    x = 9,139.07

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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.