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Finding the Fourth Proportional to 3,662.66, 5,053.56 and 2,170.50

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Solution

The fourth proportional to 3,662.66, 5,053.56 and 2,170.50 is: 2,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.66 : 5,053.56 = 2,170.50 : x
  2. Step 2: Convert to fraction form
    3,662.66/5,053.56 = 2,170.50/x
  3. Step 3: Cross multiply
    3,662.66x = 5,053.56 × 2,170.50
  4. Step 4: Simplify right side
    3,662.66x = 10,968,751.98
  5. Step 5: Solve for x
    x = 10,968,751.98/3,662.66
  6. Step 6: Final answer
    x = 2,994.75

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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.