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Finding the Fourth Proportional to 5,806.98, 8,710.35 and 1,911.42

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Solution

The fourth proportional to 5,806.98, 8,710.35 and 1,911.42 is: 2,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.98 : 8,710.35 = 1,911.42 : x
  2. Step 2: Convert to fraction form
    5,806.98/8,710.35 = 1,911.42/x
  3. Step 3: Cross multiply
    5,806.98x = 8,710.35 × 1,911.42
  4. Step 4: Simplify right side
    5,806.98x = 16,649,137.20
  5. Step 5: Solve for x
    x = 16,649,137.20/5,806.98
  6. Step 6: Final answer
    x = 2,867.09

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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.