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Finding the Fourth Proportional to 1,980.62, 2,972.74 and 1,056.96

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Solution

The fourth proportional to 1,980.62, 2,972.74 and 1,056.96 is: 1,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.62 : 2,972.74 = 1,056.96 : x
  2. Step 2: Convert to fraction form
    1,980.62/2,972.74 = 1,056.96/x
  3. Step 3: Cross multiply
    1,980.62x = 2,972.74 × 1,056.96
  4. Step 4: Simplify right side
    1,980.62x = 3,142,067.27
  5. Step 5: Solve for x
    x = 3,142,067.27/1,980.62
  6. Step 6: Final answer
    x = 1,586.41

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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.