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Finding the Fourth Proportional to 5,809, 8,714.94 and 1,705

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Solution

The fourth proportional to 5,809, 8,714.94 and 1,705 is: 2,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809 : 8,714.94 = 1,705 : x
  2. Step 2: Convert to fraction form
    5,809/8,714.94 = 1,705/x
  3. Step 3: Cross multiply
    5,809x = 8,714.94 × 1,705
  4. Step 4: Simplify right side
    5,809x = 14,858,972.70
  5. Step 5: Solve for x
    x = 14,858,972.70/5,809
  6. Step 6: Final answer
    x = 2,557.92

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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.