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Finding the Fourth Proportional to 20,237, 30,298.24 and 10,727.64

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Solution

The fourth proportional to 20,237, 30,298.24 and 10,727.64 is: 16,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237 : 30,298.24 = 10,727.64 : x
  2. Step 2: Convert to fraction form
    20,237/30,298.24 = 10,727.64/x
  3. Step 3: Cross multiply
    20,237x = 30,298.24 × 10,727.64
  4. Step 4: Simplify right side
    20,237x = 325,028,611.35
  5. Step 5: Solve for x
    x = 325,028,611.35/20,237
  6. Step 6: Final answer
    x = 16,061.11

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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.