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Finding the Fourth Proportional to 2,371.58, 3,557.27 and 910.64

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Solution

The fourth proportional to 2,371.58, 3,557.27 and 910.64 is: 1,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.58 : 3,557.27 = 910.64 : x
  2. Step 2: Convert to fraction form
    2,371.58/3,557.27 = 910.64/x
  3. Step 3: Cross multiply
    2,371.58x = 3,557.27 × 910.64
  4. Step 4: Simplify right side
    2,371.58x = 3,239,398.40
  5. Step 5: Solve for x
    x = 3,239,398.40/2,371.58
  6. Step 6: Final answer
    x = 1,365.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.