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Finding the Fourth Proportional to 3,039, 4,557.72 and 1,091.22

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Solution

The fourth proportional to 3,039, 4,557.72 and 1,091.22 is: 1,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039 : 4,557.72 = 1,091.22 : x
  2. Step 2: Convert to fraction form
    3,039/4,557.72 = 1,091.22/x
  3. Step 3: Cross multiply
    3,039x = 4,557.72 × 1,091.22
  4. Step 4: Simplify right side
    3,039x = 4,973,475.22
  5. Step 5: Solve for x
    x = 4,973,475.22/3,039
  6. Step 6: Final answer
    x = 1,636.55

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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.