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Finding the Fourth Proportional to 3,818.88, 5,731.20 and 3,058.56

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Solution

The fourth proportional to 3,818.88, 5,731.20 and 3,058.56 is: 4,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.88 : 5,731.20 = 3,058.56 : x
  2. Step 2: Convert to fraction form
    3,818.88/5,731.20 = 3,058.56/x
  3. Step 3: Cross multiply
    3,818.88x = 5,731.20 × 3,058.56
  4. Step 4: Simplify right side
    3,818.88x = 17,529,219.07
  5. Step 5: Solve for x
    x = 17,529,219.07/3,818.88
  6. Step 6: Final answer
    x = 4,590.15

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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.