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Finding the Fourth Proportional to 3,112.25, 4,668.42 and 1,164.47

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Solution

The fourth proportional to 3,112.25, 4,668.42 and 1,164.47 is: 1,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.25 : 4,668.42 = 1,164.47 : x
  2. Step 2: Convert to fraction form
    3,112.25/4,668.42 = 1,164.47/x
  3. Step 3: Cross multiply
    3,112.25x = 4,668.42 × 1,164.47
  4. Step 4: Simplify right side
    3,112.25x = 5,436,235.04
  5. Step 5: Solve for x
    x = 5,436,235.04/3,112.25
  6. Step 6: Final answer
    x = 1,746.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.