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Finding the Fourth Proportional to 2,371.87, 3,270 and 1,662.76

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Solution

The fourth proportional to 2,371.87, 3,270 and 1,662.76 is: 2,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.87 : 3,270 = 1,662.76 : x
  2. Step 2: Convert to fraction form
    2,371.87/3,270 = 1,662.76/x
  3. Step 3: Cross multiply
    2,371.87x = 3,270 × 1,662.76
  4. Step 4: Simplify right side
    2,371.87x = 5,437,225.20
  5. Step 5: Solve for x
    x = 5,437,225.20/2,371.87
  6. Step 6: Final answer
    x = 2,292.38

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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.