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Finding the Fourth Proportional to 3,141, 4,703.04 and 1,969.62

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Solution

The fourth proportional to 3,141, 4,703.04 and 1,969.62 is: 2,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,703.04 = 1,969.62 : x
  2. Step 2: Convert to fraction form
    3,141/4,703.04 = 1,969.62/x
  3. Step 3: Cross multiply
    3,141x = 4,703.04 × 1,969.62
  4. Step 4: Simplify right side
    3,141x = 9,263,201.64
  5. Step 5: Solve for x
    x = 9,263,201.64/3,141
  6. Step 6: Final answer
    x = 2,949.13

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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.