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Finding the Fourth Proportional to 27,945.20, 41,919.78 and 10,415

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Solution

The fourth proportional to 27,945.20, 41,919.78 and 10,415 is: 15,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945.20 : 41,919.78 = 10,415 : x
  2. Step 2: Convert to fraction form
    27,945.20/41,919.78 = 10,415/x
  3. Step 3: Cross multiply
    27,945.20x = 41,919.78 × 10,415
  4. Step 4: Simplify right side
    27,945.20x = 436,594,508.70
  5. Step 5: Solve for x
    x = 436,594,508.70/27,945.20
  6. Step 6: Final answer
    x = 15,623.24

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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.