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Finding the Fourth Proportional to 5,205.85, 7,808.83 and 1,695.87

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Solution

The fourth proportional to 5,205.85, 7,808.83 and 1,695.87 is: 2,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.85 : 7,808.83 = 1,695.87 : x
  2. Step 2: Convert to fraction form
    5,205.85/7,808.83 = 1,695.87/x
  3. Step 3: Cross multiply
    5,205.85x = 7,808.83 × 1,695.87
  4. Step 4: Simplify right side
    5,205.85x = 13,242,760.53
  5. Step 5: Solve for x
    x = 13,242,760.53/5,205.85
  6. Step 6: Final answer
    x = 2,543.82

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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.