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Finding the Fourth Proportional to 2,586, 3,880.41 and 1,400.01

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Solution

The fourth proportional to 2,586, 3,880.41 and 1,400.01 is: 2,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,880.41 = 1,400.01 : x
  2. Step 2: Convert to fraction form
    2,586/3,880.41 = 1,400.01/x
  3. Step 3: Cross multiply
    2,586x = 3,880.41 × 1,400.01
  4. Step 4: Simplify right side
    2,586x = 5,432,612.80
  5. Step 5: Solve for x
    x = 5,432,612.80/2,586
  6. Step 6: Final answer
    x = 2,100.78

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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.