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Finding the Fourth Proportional to 27,638.07, 41,463.02 and 8,919.16

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Solution

The fourth proportional to 27,638.07, 41,463.02 and 8,919.16 is: 13,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.07 : 41,463.02 = 8,919.16 : x
  2. Step 2: Convert to fraction form
    27,638.07/41,463.02 = 8,919.16/x
  3. Step 3: Cross multiply
    27,638.07x = 41,463.02 × 8,919.16
  4. Step 4: Simplify right side
    27,638.07x = 369,815,309.46
  5. Step 5: Solve for x
    x = 369,815,309.46/27,638.07
  6. Step 6: Final answer
    x = 13,380.65

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1.5x scale

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.