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Finding the Fourth Proportional to 2,242, 3,091.62 and 1,357.48

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Solution

The fourth proportional to 2,242, 3,091.62 and 1,357.48 is: 1,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 3,091.62 = 1,357.48 : x
  2. Step 2: Convert to fraction form
    2,242/3,091.62 = 1,357.48/x
  3. Step 3: Cross multiply
    2,242x = 3,091.62 × 1,357.48
  4. Step 4: Simplify right side
    2,242x = 4,196,812.32
  5. Step 5: Solve for x
    x = 4,196,812.32/2,242
  6. Step 6: Final answer
    x = 1,871.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.