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Finding the Fourth Proportional to 2,000.52, 3,000.78 and 1,076.51

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Solution

The fourth proportional to 2,000.52, 3,000.78 and 1,076.51 is: 1,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.52 : 3,000.78 = 1,076.51 : x
  2. Step 2: Convert to fraction form
    2,000.52/3,000.78 = 1,076.51/x
  3. Step 3: Cross multiply
    2,000.52x = 3,000.78 × 1,076.51
  4. Step 4: Simplify right side
    2,000.52x = 3,230,369.68
  5. Step 5: Solve for x
    x = 3,230,369.68/2,000.52
  6. Step 6: Final answer
    x = 1,614.77

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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.