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Finding the Fourth Proportional to 1,909.11, 2,859.62 and 920.48

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Solution

The fourth proportional to 1,909.11, 2,859.62 and 920.48 is: 1,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.11 : 2,859.62 = 920.48 : x
  2. Step 2: Convert to fraction form
    1,909.11/2,859.62 = 920.48/x
  3. Step 3: Cross multiply
    1,909.11x = 2,859.62 × 920.48
  4. Step 4: Simplify right side
    1,909.11x = 2,632,204.12
  5. Step 5: Solve for x
    x = 2,632,204.12/1,909.11
  6. Step 6: Final answer
    x = 1,378.76

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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.