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Finding the Fourth Proportional to 1,997.60, 2,993.10 and 1,215.23

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Solution

The fourth proportional to 1,997.60, 2,993.10 and 1,215.23 is: 1,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.60 : 2,993.10 = 1,215.23 : x
  2. Step 2: Convert to fraction form
    1,997.60/2,993.10 = 1,215.23/x
  3. Step 3: Cross multiply
    1,997.60x = 2,993.10 × 1,215.23
  4. Step 4: Simplify right side
    1,997.60x = 3,637,312.40
  5. Step 5: Solve for x
    x = 3,637,312.40/1,997.60
  6. Step 6: Final answer
    x = 1,820.85

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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.