Home / 2,089.78-3,134.77-1,164.64

Finding the Fourth Proportional to 2,089.78, 3,134.77 and 1,164.64

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Solution

The fourth proportional to 2,089.78, 3,134.77 and 1,164.64 is: 1,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.78 : 3,134.77 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    2,089.78/3,134.77 = 1,164.64/x
  3. Step 3: Cross multiply
    2,089.78x = 3,134.77 × 1,164.64
  4. Step 4: Simplify right side
    2,089.78x = 3,650,878.53
  5. Step 5: Solve for x
    x = 3,650,878.53/2,089.78
  6. Step 6: Final answer
    x = 1,747.02

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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.