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Finding the Fourth Proportional to 20,452, 30,498.99 and 20,265.16

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Solution

The fourth proportional to 20,452, 30,498.99 and 20,265.16 is: 30,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 30,498.99 = 20,265.16 : x
  2. Step 2: Convert to fraction form
    20,452/30,498.99 = 20,265.16/x
  3. Step 3: Cross multiply
    20,452x = 30,498.99 × 20,265.16
  4. Step 4: Simplify right side
    20,452x = 618,066,912.19
  5. Step 5: Solve for x
    x = 618,066,912.19/20,452
  6. Step 6: Final answer
    x = 30,220.37

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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.