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Finding the Fourth Proportional to 1,447.37, 1,996.90 and 887.26

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Solution

The fourth proportional to 1,447.37, 1,996.90 and 887.26 is: 1,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.37 : 1,996.90 = 887.26 : x
  2. Step 2: Convert to fraction form
    1,447.37/1,996.90 = 887.26/x
  3. Step 3: Cross multiply
    1,447.37x = 1,996.90 × 887.26
  4. Step 4: Simplify right side
    1,447.37x = 1,771,769.49
  5. Step 5: Solve for x
    x = 1,771,769.49/1,447.37
  6. Step 6: Final answer
    x = 1,224.13

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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.