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Finding the Fourth Proportional to 20,969.08, 31,459.08 and 7,821.56

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Solution

The fourth proportional to 20,969.08, 31,459.08 and 7,821.56 is: 11,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.08 : 31,459.08 = 7,821.56 : x
  2. Step 2: Convert to fraction form
    20,969.08/31,459.08 = 7,821.56/x
  3. Step 3: Cross multiply
    20,969.08x = 31,459.08 × 7,821.56
  4. Step 4: Simplify right side
    20,969.08x = 246,059,189.74
  5. Step 5: Solve for x
    x = 246,059,189.74/20,969.08
  6. Step 6: Final answer
    x = 11,734.38

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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.