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Finding the Fourth Proportional to 1,973.30, 2,957.13 and 1,449.19

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Solution

The fourth proportional to 1,973.30, 2,957.13 and 1,449.19 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.30 : 2,957.13 = 1,449.19 : x
  2. Step 2: Convert to fraction form
    1,973.30/2,957.13 = 1,449.19/x
  3. Step 3: Cross multiply
    1,973.30x = 2,957.13 × 1,449.19
  4. Step 4: Simplify right side
    1,973.30x = 4,285,435.83
  5. Step 5: Solve for x
    x = 4,285,435.83/1,973.30
  6. Step 6: Final answer
    x = 2,171.71

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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.