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Finding the Fourth Proportional to 2,586.94, 3,881.86 and 1,400.95

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Solution

The fourth proportional to 2,586.94, 3,881.86 and 1,400.95 is: 2,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.94 : 3,881.86 = 1,400.95 : x
  2. Step 2: Convert to fraction form
    2,586.94/3,881.86 = 1,400.95/x
  3. Step 3: Cross multiply
    2,586.94x = 3,881.86 × 1,400.95
  4. Step 4: Simplify right side
    2,586.94x = 5,438,278.56
  5. Step 5: Solve for x
    x = 5,438,278.56/2,586.94
  6. Step 6: Final answer
    x = 2,102.21

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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.