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Finding the Fourth Proportional to 1,874.41, 2,807.96 and 1,223.17

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Solution

The fourth proportional to 1,874.41, 2,807.96 and 1,223.17 is: 1,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.41 : 2,807.96 = 1,223.17 : x
  2. Step 2: Convert to fraction form
    1,874.41/2,807.96 = 1,223.17/x
  3. Step 3: Cross multiply
    1,874.41x = 2,807.96 × 1,223.17
  4. Step 4: Simplify right side
    1,874.41x = 3,434,599.30
  5. Step 5: Solve for x
    x = 3,434,599.30/1,874.41
  6. Step 6: Final answer
    x = 1,832.37

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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.