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Finding the Fourth Proportional to 12,227.50, 16,874.16 and 6,638.50

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Solution

The fourth proportional to 12,227.50, 16,874.16 and 6,638.50 is: 9,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.50 : 16,874.16 = 6,638.50 : x
  2. Step 2: Convert to fraction form
    12,227.50/16,874.16 = 6,638.50/x
  3. Step 3: Cross multiply
    12,227.50x = 16,874.16 × 6,638.50
  4. Step 4: Simplify right side
    12,227.50x = 112,019,111.16
  5. Step 5: Solve for x
    x = 112,019,111.16/12,227.50
  6. Step 6: Final answer
    x = 9,161.24

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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.