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Finding the Fourth Proportional to 3,172.56, 4,759 and 864.08

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Solution

The fourth proportional to 3,172.56, 4,759 and 864.08 is: 1,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.56 : 4,759 = 864.08 : x
  2. Step 2: Convert to fraction form
    3,172.56/4,759 = 864.08/x
  3. Step 3: Cross multiply
    3,172.56x = 4,759 × 864.08
  4. Step 4: Simplify right side
    3,172.56x = 4,112,156.72
  5. Step 5: Solve for x
    x = 4,112,156.72/3,172.56
  6. Step 6: Final answer
    x = 1,296.16

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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.