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Finding the Fourth Proportional to 20,092.60, 30,143.64 and 6,945.08

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Solution

The fourth proportional to 20,092.60, 30,143.64 and 6,945.08 is: 10,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.60 : 30,143.64 = 6,945.08 : x
  2. Step 2: Convert to fraction form
    20,092.60/30,143.64 = 6,945.08/x
  3. Step 3: Cross multiply
    20,092.60x = 30,143.64 × 6,945.08
  4. Step 4: Simplify right side
    20,092.60x = 209,349,991.29
  5. Step 5: Solve for x
    x = 209,349,991.29/20,092.60
  6. Step 6: Final answer
    x = 10,419.26

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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.