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Finding the Fourth Proportional to 1,909.65, 2,861.64 and 1,129.82

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Solution

The fourth proportional to 1,909.65, 2,861.64 and 1,129.82 is: 1,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.65 : 2,861.64 = 1,129.82 : x
  2. Step 2: Convert to fraction form
    1,909.65/2,861.64 = 1,129.82/x
  3. Step 3: Cross multiply
    1,909.65x = 2,861.64 × 1,129.82
  4. Step 4: Simplify right side
    1,909.65x = 3,233,138.10
  5. Step 5: Solve for x
    x = 3,233,138.10/1,909.65
  6. Step 6: Final answer
    x = 1,693.05

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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.