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Finding the Fourth Proportional to 20,509.29, 30,771.07 and 6,471.48

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Solution

The fourth proportional to 20,509.29, 30,771.07 and 6,471.48 is: 9,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.29 : 30,771.07 = 6,471.48 : x
  2. Step 2: Convert to fraction form
    20,509.29/30,771.07 = 6,471.48/x
  3. Step 3: Cross multiply
    20,509.29x = 30,771.07 × 6,471.48
  4. Step 4: Simplify right side
    20,509.29x = 199,134,364.08
  5. Step 5: Solve for x
    x = 199,134,364.08/20,509.29
  6. Step 6: Final answer
    x = 9,709.47

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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.