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Finding the Fourth Proportional to 3,203.77, 4,806.51 and 1,012.54

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Solution

The fourth proportional to 3,203.77, 4,806.51 and 1,012.54 is: 1,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.77 : 4,806.51 = 1,012.54 : x
  2. Step 2: Convert to fraction form
    3,203.77/4,806.51 = 1,012.54/x
  3. Step 3: Cross multiply
    3,203.77x = 4,806.51 × 1,012.54
  4. Step 4: Simplify right side
    3,203.77x = 4,866,783.64
  5. Step 5: Solve for x
    x = 4,866,783.64/3,203.77
  6. Step 6: Final answer
    x = 1,519.08

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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.