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Finding the Fourth Proportional to 1,805.63, 2,703.58 and 1,282.91

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Solution

The fourth proportional to 1,805.63, 2,703.58 and 1,282.91 is: 1,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.63 : 2,703.58 = 1,282.91 : x
  2. Step 2: Convert to fraction form
    1,805.63/2,703.58 = 1,282.91/x
  3. Step 3: Cross multiply
    1,805.63x = 2,703.58 × 1,282.91
  4. Step 4: Simplify right side
    1,805.63x = 3,468,433.09
  5. Step 5: Solve for x
    x = 3,468,433.09/1,805.63
  6. Step 6: Final answer
    x = 1,920.90

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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.