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Finding the Fourth Proportional to 1,909.26, 2,862.06 and 609.88

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Solution

The fourth proportional to 1,909.26, 2,862.06 and 609.88 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.26 : 2,862.06 = 609.88 : x
  2. Step 2: Convert to fraction form
    1,909.26/2,862.06 = 609.88/x
  3. Step 3: Cross multiply
    1,909.26x = 2,862.06 × 609.88
  4. Step 4: Simplify right side
    1,909.26x = 1,745,513.15
  5. Step 5: Solve for x
    x = 1,745,513.15/1,909.26
  6. Step 6: Final answer
    x = 914.24

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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.