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Finding the Fourth Proportional to 2,000.98, 3,001.41 and 540.22

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Solution

The fourth proportional to 2,000.98, 3,001.41 and 540.22 is: 810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.98 : 3,001.41 = 540.22 : x
  2. Step 2: Convert to fraction form
    2,000.98/3,001.41 = 540.22/x
  3. Step 3: Cross multiply
    2,000.98x = 3,001.41 × 540.22
  4. Step 4: Simplify right side
    2,000.98x = 1,621,421.71
  5. Step 5: Solve for x
    x = 1,621,421.71/2,000.98
  6. Step 6: Final answer
    x = 810.31

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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.