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Finding the Fourth Proportional to 3,609, 4,980.54 and 2,211.48

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Solution

The fourth proportional to 3,609, 4,980.54 and 2,211.48 is: 3,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609 : 4,980.54 = 2,211.48 : x
  2. Step 2: Convert to fraction form
    3,609/4,980.54 = 2,211.48/x
  3. Step 3: Cross multiply
    3,609x = 4,980.54 × 2,211.48
  4. Step 4: Simplify right side
    3,609x = 11,014,364.60
  5. Step 5: Solve for x
    x = 11,014,364.60/3,609
  6. Step 6: Final answer
    x = 3,051.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.