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Finding the Fourth Proportional to 3,843.80, 5,762.16 and 1,505.34

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Solution

The fourth proportional to 3,843.80, 5,762.16 and 1,505.34 is: 2,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.80 : 5,762.16 = 1,505.34 : x
  2. Step 2: Convert to fraction form
    3,843.80/5,762.16 = 1,505.34/x
  3. Step 3: Cross multiply
    3,843.80x = 5,762.16 × 1,505.34
  4. Step 4: Simplify right side
    3,843.80x = 8,674,009.93
  5. Step 5: Solve for x
    x = 8,674,009.93/3,843.80
  6. Step 6: Final answer
    x = 2,256.62

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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.