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Finding the Fourth Proportional to 9,759.83, 14,638.25 and 3,186

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Solution

The fourth proportional to 9,759.83, 14,638.25 and 3,186 is: 4,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.83 : 14,638.25 = 3,186 : x
  2. Step 2: Convert to fraction form
    9,759.83/14,638.25 = 3,186/x
  3. Step 3: Cross multiply
    9,759.83x = 14,638.25 × 3,186
  4. Step 4: Simplify right side
    9,759.83x = 46,637,464.50
  5. Step 5: Solve for x
    x = 46,637,464.50/9,759.83
  6. Step 6: Final answer
    x = 4,778.51

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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.