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Finding the Fourth Proportional to 1,973.81, 2,957.88 and 1,449.69

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Solution

The fourth proportional to 1,973.81, 2,957.88 and 1,449.69 is: 2,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.81 : 2,957.88 = 1,449.69 : x
  2. Step 2: Convert to fraction form
    1,973.81/2,957.88 = 1,449.69/x
  3. Step 3: Cross multiply
    1,973.81x = 2,957.88 × 1,449.69
  4. Step 4: Simplify right side
    1,973.81x = 4,288,009.06
  5. Step 5: Solve for x
    x = 4,288,009.06/1,973.81
  6. Step 6: Final answer
    x = 2,172.46

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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.