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Finding the Fourth Proportional to 3,007.76, 4,512 and 1,059.56

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Solution

The fourth proportional to 3,007.76, 4,512 and 1,059.56 is: 1,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.76 : 4,512 = 1,059.56 : x
  2. Step 2: Convert to fraction form
    3,007.76/4,512 = 1,059.56/x
  3. Step 3: Cross multiply
    3,007.76x = 4,512 × 1,059.56
  4. Step 4: Simplify right side
    3,007.76x = 4,780,734.72
  5. Step 5: Solve for x
    x = 4,780,734.72/3,007.76
  6. Step 6: Final answer
    x = 1,589.47

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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.