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Finding the Fourth Proportional to 2,007.78, 2,775.87 and 1,512.96

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Solution

The fourth proportional to 2,007.78, 2,775.87 and 1,512.96 is: 2,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.78 : 2,775.87 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    2,007.78/2,775.87 = 1,512.96/x
  3. Step 3: Cross multiply
    2,007.78x = 2,775.87 × 1,512.96
  4. Step 4: Simplify right side
    2,007.78x = 4,199,780.28
  5. Step 5: Solve for x
    x = 4,199,780.28/2,007.78
  6. Step 6: Final answer
    x = 2,091.75

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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.