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Finding the Fourth Proportional to 3,762.30, 5,645.88 and 2,839.98

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Solution

The fourth proportional to 3,762.30, 5,645.88 and 2,839.98 is: 4,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.30 : 5,645.88 = 2,839.98 : x
  2. Step 2: Convert to fraction form
    3,762.30/5,645.88 = 2,839.98/x
  3. Step 3: Cross multiply
    3,762.30x = 5,645.88 × 2,839.98
  4. Step 4: Simplify right side
    3,762.30x = 16,034,186.28
  5. Step 5: Solve for x
    x = 16,034,186.28/3,762.30
  6. Step 6: Final answer
    x = 4,261.80

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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.