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Finding the Fourth Proportional to 3,009, 4,512.90 and 1,061.28

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Solution

The fourth proportional to 3,009, 4,512.90 and 1,061.28 is: 1,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009 : 4,512.90 = 1,061.28 : x
  2. Step 2: Convert to fraction form
    3,009/4,512.90 = 1,061.28/x
  3. Step 3: Cross multiply
    3,009x = 4,512.90 × 1,061.28
  4. Step 4: Simplify right side
    3,009x = 4,789,450.51
  5. Step 5: Solve for x
    x = 4,789,450.51/3,009
  6. Step 6: Final answer
    x = 1,591.71

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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.