Home / 1,997.10-2,989.80-1,402.06

Finding the Fourth Proportional to 1,997.10, 2,989.80 and 1,402.06

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Solution

The fourth proportional to 1,997.10, 2,989.80 and 1,402.06 is: 2,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.10 : 2,989.80 = 1,402.06 : x
  2. Step 2: Convert to fraction form
    1,997.10/2,989.80 = 1,402.06/x
  3. Step 3: Cross multiply
    1,997.10x = 2,989.80 × 1,402.06
  4. Step 4: Simplify right side
    1,997.10x = 4,191,878.99
  5. Step 5: Solve for x
    x = 4,191,878.99/1,997.10
  6. Step 6: Final answer
    x = 2,098.98

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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.