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Finding the Fourth Proportional to 3,141.66, 4,705.66 and 1,493.21

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Solution

The fourth proportional to 3,141.66, 4,705.66 and 1,493.21 is: 2,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.66 : 4,705.66 = 1,493.21 : x
  2. Step 2: Convert to fraction form
    3,141.66/4,705.66 = 1,493.21/x
  3. Step 3: Cross multiply
    3,141.66x = 4,705.66 × 1,493.21
  4. Step 4: Simplify right side
    3,141.66x = 7,026,538.57
  5. Step 5: Solve for x
    x = 7,026,538.57/3,141.66
  6. Step 6: Final answer
    x = 2,236.57

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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.