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Finding the Fourth Proportional to 2,833.45, 3,909.07 and 2,089.18

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Solution

The fourth proportional to 2,833.45, 3,909.07 and 2,089.18 is: 2,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.45 : 3,909.07 = 2,089.18 : x
  2. Step 2: Convert to fraction form
    2,833.45/3,909.07 = 2,089.18/x
  3. Step 3: Cross multiply
    2,833.45x = 3,909.07 × 2,089.18
  4. Step 4: Simplify right side
    2,833.45x = 8,166,750.86
  5. Step 5: Solve for x
    x = 8,166,750.86/2,833.45
  6. Step 6: Final answer
    x = 2,882.26

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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.