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Finding the Fourth Proportional to 20,465.66, 30,697.10 and 7,983.38

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Solution

The fourth proportional to 20,465.66, 30,697.10 and 7,983.38 is: 11,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.66 : 30,697.10 = 7,983.38 : x
  2. Step 2: Convert to fraction form
    20,465.66/30,697.10 = 7,983.38/x
  3. Step 3: Cross multiply
    20,465.66x = 30,697.10 × 7,983.38
  4. Step 4: Simplify right side
    20,465.66x = 245,066,614.20
  5. Step 5: Solve for x
    x = 245,066,614.20/20,465.66
  6. Step 6: Final answer
    x = 11,974.53

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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.