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Finding the Fourth Proportional to 1,909.98, 2,864.97 and 1,581.93

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Solution

The fourth proportional to 1,909.98, 2,864.97 and 1,581.93 is: 2,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.98 : 2,864.97 = 1,581.93 : x
  2. Step 2: Convert to fraction form
    1,909.98/2,864.97 = 1,581.93/x
  3. Step 3: Cross multiply
    1,909.98x = 2,864.97 × 1,581.93
  4. Step 4: Simplify right side
    1,909.98x = 4,532,181.99
  5. Step 5: Solve for x
    x = 4,532,181.99/1,909.98
  6. Step 6: Final answer
    x = 2,372.90

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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.