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Finding the Fourth Proportional to 2,371.95, 3,555.95 and 986.27

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Solution

The fourth proportional to 2,371.95, 3,555.95 and 986.27 is: 1,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.95 : 3,555.95 = 986.27 : x
  2. Step 2: Convert to fraction form
    2,371.95/3,555.95 = 986.27/x
  3. Step 3: Cross multiply
    2,371.95x = 3,555.95 × 986.27
  4. Step 4: Simplify right side
    2,371.95x = 3,507,104.10
  5. Step 5: Solve for x
    x = 3,507,104.10/2,371.95
  6. Step 6: Final answer
    x = 1,478.57

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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.