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Finding the Fourth Proportional to 3,173.16, 4,759.74 and 864.66

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Solution

The fourth proportional to 3,173.16, 4,759.74 and 864.66 is: 1,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.16 : 4,759.74 = 864.66 : x
  2. Step 2: Convert to fraction form
    3,173.16/4,759.74 = 864.66/x
  3. Step 3: Cross multiply
    3,173.16x = 4,759.74 × 864.66
  4. Step 4: Simplify right side
    3,173.16x = 4,115,556.79
  5. Step 5: Solve for x
    x = 4,115,556.79/3,173.16
  6. Step 6: Final answer
    x = 1,296.99

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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.