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Finding the Fourth Proportional to 2,113.91, 2,917.11 and 1,169.64

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Solution

The fourth proportional to 2,113.91, 2,917.11 and 1,169.64 is: 1,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.91 : 2,917.11 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    2,113.91/2,917.11 = 1,169.64/x
  3. Step 3: Cross multiply
    2,113.91x = 2,917.11 × 1,169.64
  4. Step 4: Simplify right side
    2,113.91x = 3,411,972.93
  5. Step 5: Solve for x
    x = 3,411,972.93/2,113.91
  6. Step 6: Final answer
    x = 1,614.06

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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.