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Finding the Fourth Proportional to 1,371.47, 1,893.47 and 893.39

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Solution

The fourth proportional to 1,371.47, 1,893.47 and 893.39 is: 1,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.47 : 1,893.47 = 893.39 : x
  2. Step 2: Convert to fraction form
    1,371.47/1,893.47 = 893.39/x
  3. Step 3: Cross multiply
    1,371.47x = 1,893.47 × 893.39
  4. Step 4: Simplify right side
    1,371.47x = 1,691,593.23
  5. Step 5: Solve for x
    x = 1,691,593.23/1,371.47
  6. Step 6: Final answer
    x = 1,233.42

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1.5x scale

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.