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Finding the Fourth Proportional to 2,790, 4,185 and 1,147.44

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Solution

The fourth proportional to 2,790, 4,185 and 1,147.44 is: 1,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 4,185 = 1,147.44 : x
  2. Step 2: Convert to fraction form
    2,790/4,185 = 1,147.44/x
  3. Step 3: Cross multiply
    2,790x = 4,185 × 1,147.44
  4. Step 4: Simplify right side
    2,790x = 4,802,036.40
  5. Step 5: Solve for x
    x = 4,802,036.40/2,790
  6. Step 6: Final answer
    x = 1,721.16

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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.