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Finding the Fourth Proportional to 2,833.91, 3,911.03 and 1,575.08

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Solution

The fourth proportional to 2,833.91, 3,911.03 and 1,575.08 is: 2,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.91 : 3,911.03 = 1,575.08 : x
  2. Step 2: Convert to fraction form
    2,833.91/3,911.03 = 1,575.08/x
  3. Step 3: Cross multiply
    2,833.91x = 3,911.03 × 1,575.08
  4. Step 4: Simplify right side
    2,833.91x = 6,160,185.13
  5. Step 5: Solve for x
    x = 6,160,185.13/2,833.91
  6. Step 6: Final answer
    x = 2,173.74

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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.