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Finding the Fourth Proportional to 20,054.79, 30,082.19 and 9,659.25

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Solution

The fourth proportional to 20,054.79, 30,082.19 and 9,659.25 is: 14,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.79 : 30,082.19 = 9,659.25 : x
  2. Step 2: Convert to fraction form
    20,054.79/30,082.19 = 9,659.25/x
  3. Step 3: Cross multiply
    20,054.79x = 30,082.19 × 9,659.25
  4. Step 4: Simplify right side
    20,054.79x = 290,571,345.46
  5. Step 5: Solve for x
    x = 290,571,345.46/20,054.79
  6. Step 6: Final answer
    x = 14,488.88

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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.