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Finding the Fourth Proportional to 1,809.20, 2,714.74 and 1,069.86

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Solution

The fourth proportional to 1,809.20, 2,714.74 and 1,069.86 is: 1,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.20 : 2,714.74 = 1,069.86 : x
  2. Step 2: Convert to fraction form
    1,809.20/2,714.74 = 1,069.86/x
  3. Step 3: Cross multiply
    1,809.20x = 2,714.74 × 1,069.86
  4. Step 4: Simplify right side
    1,809.20x = 2,904,391.74
  5. Step 5: Solve for x
    x = 2,904,391.74/1,809.20
  6. Step 6: Final answer
    x = 1,605.35

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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.