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Finding the Fourth Proportional to 20,457.48, 30,678.66 and 16,083.48

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Solution

The fourth proportional to 20,457.48, 30,678.66 and 16,083.48 is: 24,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.48 : 30,678.66 = 16,083.48 : x
  2. Step 2: Convert to fraction form
    20,457.48/30,678.66 = 16,083.48/x
  3. Step 3: Cross multiply
    20,457.48x = 30,678.66 × 16,083.48
  4. Step 4: Simplify right side
    20,457.48x = 493,419,614.54
  5. Step 5: Solve for x
    x = 493,419,614.54/20,457.48
  6. Step 6: Final answer
    x = 24,119.28

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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.