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Finding the Fourth Proportional to 2,000.77, 3,000.94 and 540.07

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Solution

The fourth proportional to 2,000.77, 3,000.94 and 540.07 is: 810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.77 : 3,000.94 = 540.07 : x
  2. Step 2: Convert to fraction form
    2,000.77/3,000.94 = 540.07/x
  3. Step 3: Cross multiply
    2,000.77x = 3,000.94 × 540.07
  4. Step 4: Simplify right side
    2,000.77x = 1,620,717.67
  5. Step 5: Solve for x
    x = 1,620,717.67/2,000.77
  6. Step 6: Final answer
    x = 810.05

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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.