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Finding the Fourth Proportional to 20,409.68, 30,614.52 and 6,559.76

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Solution

The fourth proportional to 20,409.68, 30,614.52 and 6,559.76 is: 9,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.68 : 30,614.52 = 6,559.76 : x
  2. Step 2: Convert to fraction form
    20,409.68/30,614.52 = 6,559.76/x
  3. Step 3: Cross multiply
    20,409.68x = 30,614.52 × 6,559.76
  4. Step 4: Simplify right side
    20,409.68x = 200,823,903.72
  5. Step 5: Solve for x
    x = 200,823,903.72/20,409.68
  6. Step 6: Final answer
    x = 9,839.64

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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.