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Finding the Fourth Proportional to 20,145.70, 27,797.72 and 11,648.62

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Solution

The fourth proportional to 20,145.70, 27,797.72 and 11,648.62 is: 16,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.70 : 27,797.72 = 11,648.62 : x
  2. Step 2: Convert to fraction form
    20,145.70/27,797.72 = 11,648.62/x
  3. Step 3: Cross multiply
    20,145.70x = 27,797.72 × 11,648.62
  4. Step 4: Simplify right side
    20,145.70x = 323,805,077.15
  5. Step 5: Solve for x
    x = 323,805,077.15/20,145.70
  6. Step 6: Final answer
    x = 16,073.16

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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.