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Finding the Fourth Proportional to 3,203.80, 4,782.53 and 2,815

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Solution

The fourth proportional to 3,203.80, 4,782.53 and 2,815 is: 4,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.80 : 4,782.53 = 2,815 : x
  2. Step 2: Convert to fraction form
    3,203.80/4,782.53 = 2,815/x
  3. Step 3: Cross multiply
    3,203.80x = 4,782.53 × 2,815
  4. Step 4: Simplify right side
    3,203.80x = 13,462,821.95
  5. Step 5: Solve for x
    x = 13,462,821.95/3,203.80
  6. Step 6: Final answer
    x = 4,202.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.