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Finding the Fourth Proportional to 20,457.68, 30,516.14 and 20,119.00

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Solution

The fourth proportional to 20,457.68, 30,516.14 and 20,119.00 is: 30,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.68 : 30,516.14 = 20,119.00 : x
  2. Step 2: Convert to fraction form
    20,457.68/30,516.14 = 20,119.00/x
  3. Step 3: Cross multiply
    20,457.68x = 30,516.14 × 20,119.00
  4. Step 4: Simplify right side
    20,457.68x = 613,954,251.88
  5. Step 5: Solve for x
    x = 613,954,251.88/20,457.68
  6. Step 6: Final answer
    x = 30,010.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.