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Finding the Fourth Proportional to 20,315.81, 30,472.81 and 8,464.70

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Solution

The fourth proportional to 20,315.81, 30,472.81 and 8,464.70 is: 12,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.81 : 30,472.81 = 8,464.70 : x
  2. Step 2: Convert to fraction form
    20,315.81/30,472.81 = 8,464.70/x
  3. Step 3: Cross multiply
    20,315.81x = 30,472.81 × 8,464.70
  4. Step 4: Simplify right side
    20,315.81x = 257,943,249.83
  5. Step 5: Solve for x
    x = 257,943,249.83/20,315.81
  6. Step 6: Final answer
    x = 12,696.67

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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.