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Finding the Fourth Proportional to 2,175, 3,001.20 and 1,335.36

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Solution

The fourth proportional to 2,175, 3,001.20 and 1,335.36 is: 1,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175 : 3,001.20 = 1,335.36 : x
  2. Step 2: Convert to fraction form
    2,175/3,001.20 = 1,335.36/x
  3. Step 3: Cross multiply
    2,175x = 3,001.20 × 1,335.36
  4. Step 4: Simplify right side
    2,175x = 4,007,682.43
  5. Step 5: Solve for x
    x = 4,007,682.43/2,175
  6. Step 6: Final answer
    x = 1,842.61

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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.