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Finding the Fourth Proportional to 3,212.76, 4,815.30 and 1,159.64

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Solution

The fourth proportional to 3,212.76, 4,815.30 and 1,159.64 is: 1,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.76 : 4,815.30 = 1,159.64 : x
  2. Step 2: Convert to fraction form
    3,212.76/4,815.30 = 1,159.64/x
  3. Step 3: Cross multiply
    3,212.76x = 4,815.30 × 1,159.64
  4. Step 4: Simplify right side
    3,212.76x = 5,584,014.49
  5. Step 5: Solve for x
    x = 5,584,014.49/3,212.76
  6. Step 6: Final answer
    x = 1,738.07

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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.