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Finding the Fourth Proportional to 5,764.77, 8,633.29 and 3,292.10

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Solution

The fourth proportional to 5,764.77, 8,633.29 and 3,292.10 is: 4,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.77 : 8,633.29 = 3,292.10 : x
  2. Step 2: Convert to fraction form
    5,764.77/8,633.29 = 3,292.10/x
  3. Step 3: Cross multiply
    5,764.77x = 8,633.29 × 3,292.10
  4. Step 4: Simplify right side
    5,764.77x = 28,421,610.84
  5. Step 5: Solve for x
    x = 28,421,610.84/5,764.77
  6. Step 6: Final answer
    x = 4,930.22

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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.