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Finding the Fourth Proportional to 1,445.65, 1,996.14 and 1,335.08

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Solution

The fourth proportional to 1,445.65, 1,996.14 and 1,335.08 is: 1,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.65 : 1,996.14 = 1,335.08 : x
  2. Step 2: Convert to fraction form
    1,445.65/1,996.14 = 1,335.08/x
  3. Step 3: Cross multiply
    1,445.65x = 1,996.14 × 1,335.08
  4. Step 4: Simplify right side
    1,445.65x = 2,665,016.59
  5. Step 5: Solve for x
    x = 2,665,016.59/1,445.65
  6. Step 6: Final answer
    x = 1,843.48

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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.