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Finding the Fourth Proportional to 2,000.07, 2,760.09 and 1,115.87

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Solution

The fourth proportional to 2,000.07, 2,760.09 and 1,115.87 is: 1,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.07 : 2,760.09 = 1,115.87 : x
  2. Step 2: Convert to fraction form
    2,000.07/2,760.09 = 1,115.87/x
  3. Step 3: Cross multiply
    2,000.07x = 2,760.09 × 1,115.87
  4. Step 4: Simplify right side
    2,000.07x = 3,079,897.68
  5. Step 5: Solve for x
    x = 3,079,897.68/2,000.07
  6. Step 6: Final answer
    x = 1,539.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.