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Finding the Fourth Proportional to 3,842.64, 5,764.16 and 1,245.38

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Solution

The fourth proportional to 3,842.64, 5,764.16 and 1,245.38 is: 1,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.64 : 5,764.16 = 1,245.38 : x
  2. Step 2: Convert to fraction form
    3,842.64/5,764.16 = 1,245.38/x
  3. Step 3: Cross multiply
    3,842.64x = 5,764.16 × 1,245.38
  4. Step 4: Simplify right side
    3,842.64x = 7,178,543.87
  5. Step 5: Solve for x
    x = 7,178,543.87/3,842.64
  6. Step 6: Final answer
    x = 1,868.13

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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.