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Finding the Fourth Proportional to 2,000.04, 3,000.24 and 539.21

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Solution

The fourth proportional to 2,000.04, 3,000.24 and 539.21 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.04 : 3,000.24 = 539.21 : x
  2. Step 2: Convert to fraction form
    2,000.04/3,000.24 = 539.21/x
  3. Step 3: Cross multiply
    2,000.04x = 3,000.24 × 539.21
  4. Step 4: Simplify right side
    2,000.04x = 1,617,744.41
  5. Step 5: Solve for x
    x = 1,617,744.41/2,000.04
  6. Step 6: Final answer
    x = 808.86

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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.