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Finding the Fourth Proportional to 5,215.92, 7,823.07 and 1,705.90

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Solution

The fourth proportional to 5,215.92, 7,823.07 and 1,705.90 is: 2,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.92 : 7,823.07 = 1,705.90 : x
  2. Step 2: Convert to fraction form
    5,215.92/7,823.07 = 1,705.90/x
  3. Step 3: Cross multiply
    5,215.92x = 7,823.07 × 1,705.90
  4. Step 4: Simplify right side
    5,215.92x = 13,345,375.11
  5. Step 5: Solve for x
    x = 13,345,375.11/5,215.92
  6. Step 6: Final answer
    x = 2,558.59

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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.