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Finding the Fourth Proportional to 1,972.98, 2,956.65 and 1,448.87

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Solution

The fourth proportional to 1,972.98, 2,956.65 and 1,448.87 is: 2,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.98 : 2,956.65 = 1,448.87 : x
  2. Step 2: Convert to fraction form
    1,972.98/2,956.65 = 1,448.87/x
  3. Step 3: Cross multiply
    1,972.98x = 2,956.65 × 1,448.87
  4. Step 4: Simplify right side
    1,972.98x = 4,283,814.31
  5. Step 5: Solve for x
    x = 4,283,814.31/1,972.98
  6. Step 6: Final answer
    x = 2,171.24

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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.