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Finding the Fourth Proportional to 3,840.98, 5,762.70 and 1,375.76

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Solution

The fourth proportional to 3,840.98, 5,762.70 and 1,375.76 is: 2,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.98 : 5,762.70 = 1,375.76 : x
  2. Step 2: Convert to fraction form
    3,840.98/5,762.70 = 1,375.76/x
  3. Step 3: Cross multiply
    3,840.98x = 5,762.70 × 1,375.76
  4. Step 4: Simplify right side
    3,840.98x = 7,928,092.15
  5. Step 5: Solve for x
    x = 7,928,092.15/3,840.98
  6. Step 6: Final answer
    x = 2,064.08

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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.