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Finding the Fourth Proportional to 3,762.25, 5,640.33 and 1,886.90

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Solution

The fourth proportional to 3,762.25, 5,640.33 and 1,886.90 is: 2,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.25 : 5,640.33 = 1,886.90 : x
  2. Step 2: Convert to fraction form
    3,762.25/5,640.33 = 1,886.90/x
  3. Step 3: Cross multiply
    3,762.25x = 5,640.33 × 1,886.90
  4. Step 4: Simplify right side
    3,762.25x = 10,642,717.55
  5. Step 5: Solve for x
    x = 10,642,717.55/3,762.25
  6. Step 6: Final answer
    x = 2,828.82

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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.