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Finding the Fourth Proportional to 20,157.70, 27,815.50 and 11,203.78

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Solution

The fourth proportional to 20,157.70, 27,815.50 and 11,203.78 is: 15,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.70 : 27,815.50 = 11,203.78 : x
  2. Step 2: Convert to fraction form
    20,157.70/27,815.50 = 11,203.78/x
  3. Step 3: Cross multiply
    20,157.70x = 27,815.50 × 11,203.78
  4. Step 4: Simplify right side
    20,157.70x = 311,638,742.59
  5. Step 5: Solve for x
    x = 311,638,742.59/20,157.70
  6. Step 6: Final answer
    x = 15,460.03

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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.