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Finding the Fourth Proportional to 20,129.90, 30,200.07 and 7,650.14

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Solution

The fourth proportional to 20,129.90, 30,200.07 and 7,650.14 is: 11,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.90 : 30,200.07 = 7,650.14 : x
  2. Step 2: Convert to fraction form
    20,129.90/30,200.07 = 7,650.14/x
  3. Step 3: Cross multiply
    20,129.90x = 30,200.07 × 7,650.14
  4. Step 4: Simplify right side
    20,129.90x = 231,034,763.51
  5. Step 5: Solve for x
    x = 231,034,763.51/20,129.90
  6. Step 6: Final answer
    x = 11,477.19

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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.