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Finding the Fourth Proportional to 20,665.85, 30,999.42 and 9,844.26

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Solution

The fourth proportional to 20,665.85, 30,999.42 and 9,844.26 is: 14,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.85 : 30,999.42 = 9,844.26 : x
  2. Step 2: Convert to fraction form
    20,665.85/30,999.42 = 9,844.26/x
  3. Step 3: Cross multiply
    20,665.85x = 30,999.42 × 9,844.26
  4. Step 4: Simplify right side
    20,665.85x = 305,166,301.11
  5. Step 5: Solve for x
    x = 305,166,301.11/20,665.85
  6. Step 6: Final answer
    x = 14,766.70

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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.