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Finding the Fourth Proportional to 2,000.13, 3,000.24 and 539.43

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Solution

The fourth proportional to 2,000.13, 3,000.24 and 539.43 is: 809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.13 : 3,000.24 = 539.43 : x
  2. Step 2: Convert to fraction form
    2,000.13/3,000.24 = 539.43/x
  3. Step 3: Cross multiply
    2,000.13x = 3,000.24 × 539.43
  4. Step 4: Simplify right side
    2,000.13x = 1,618,419.46
  5. Step 5: Solve for x
    x = 1,618,419.46/2,000.13
  6. Step 6: Final answer
    x = 809.16

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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.