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Finding the Fourth Proportional to 3,172.97, 4,759.55 and 864.47

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Solution

The fourth proportional to 3,172.97, 4,759.55 and 864.47 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.97 : 4,759.55 = 864.47 : x
  2. Step 2: Convert to fraction form
    3,172.97/4,759.55 = 864.47/x
  3. Step 3: Cross multiply
    3,172.97x = 4,759.55 × 864.47
  4. Step 4: Simplify right side
    3,172.97x = 4,114,460.07
  5. Step 5: Solve for x
    x = 4,114,460.07/3,172.97
  6. Step 6: Final answer
    x = 1,296.72

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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.