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Finding the Fourth Proportional to 3,762.09, 5,642.19 and 1,787.18

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Solution

The fourth proportional to 3,762.09, 5,642.19 and 1,787.18 is: 2,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.09 : 5,642.19 = 1,787.18 : x
  2. Step 2: Convert to fraction form
    3,762.09/5,642.19 = 1,787.18/x
  3. Step 3: Cross multiply
    3,762.09x = 5,642.19 × 1,787.18
  4. Step 4: Simplify right side
    3,762.09x = 10,083,580.91
  5. Step 5: Solve for x
    x = 10,083,580.91/3,762.09
  6. Step 6: Final answer
    x = 2,680.31

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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.