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Finding the Fourth Proportional to 20,453, 30,500.48 and 20,266.16

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Solution

The fourth proportional to 20,453, 30,500.48 and 20,266.16 is: 30,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453 : 30,500.48 = 20,266.16 : x
  2. Step 2: Convert to fraction form
    20,453/30,500.48 = 20,266.16/x
  3. Step 3: Cross multiply
    20,453x = 30,500.48 × 20,266.16
  4. Step 4: Simplify right side
    20,453x = 618,127,607.76
  5. Step 5: Solve for x
    x = 618,127,607.76/20,453
  6. Step 6: Final answer
    x = 30,221.86

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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.