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Finding the Fourth Proportional to 20,203.87, 30,275.05 and 9,659.40

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Solution

The fourth proportional to 20,203.87, 30,275.05 and 9,659.40 is: 14,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.87 : 30,275.05 = 9,659.40 : x
  2. Step 2: Convert to fraction form
    20,203.87/30,275.05 = 9,659.40/x
  3. Step 3: Cross multiply
    20,203.87x = 30,275.05 × 9,659.40
  4. Step 4: Simplify right side
    20,203.87x = 292,438,868.70
  5. Step 5: Solve for x
    x = 292,438,868.70/20,203.87
  6. Step 6: Final answer
    x = 14,474.40

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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.