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Finding the Fourth Proportional to 1,909.62, 2,628.99 and 1,489.50

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Solution

The fourth proportional to 1,909.62, 2,628.99 and 1,489.50 is: 2,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.62 : 2,628.99 = 1,489.50 : x
  2. Step 2: Convert to fraction form
    1,909.62/2,628.99 = 1,489.50/x
  3. Step 3: Cross multiply
    1,909.62x = 2,628.99 × 1,489.50
  4. Step 4: Simplify right side
    1,909.62x = 3,915,880.61
  5. Step 5: Solve for x
    x = 3,915,880.61/1,909.62
  6. Step 6: Final answer
    x = 2,050.61

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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.