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Finding the Fourth Proportional to 20,129.50, 27,779.19 and 11,297.50

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Solution

The fourth proportional to 20,129.50, 27,779.19 and 11,297.50 is: 15,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.50 : 27,779.19 = 11,297.50 : x
  2. Step 2: Convert to fraction form
    20,129.50/27,779.19 = 11,297.50/x
  3. Step 3: Cross multiply
    20,129.50x = 27,779.19 × 11,297.50
  4. Step 4: Simplify right side
    20,129.50x = 313,835,399.03
  5. Step 5: Solve for x
    x = 313,835,399.03/20,129.50
  6. Step 6: Final answer
    x = 15,590.82

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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.