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Finding the Fourth Proportional to 1,909.39, 2,861.99 and 985.01

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Solution

The fourth proportional to 1,909.39, 2,861.99 and 985.01 is: 1,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.39 : 2,861.99 = 985.01 : x
  2. Step 2: Convert to fraction form
    1,909.39/2,861.99 = 985.01/x
  3. Step 3: Cross multiply
    1,909.39x = 2,861.99 × 985.01
  4. Step 4: Simplify right side
    1,909.39x = 2,819,083.84
  5. Step 5: Solve for x
    x = 2,819,083.84/1,909.39
  6. Step 6: Final answer
    x = 1,476.44

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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.