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Finding the Fourth Proportional to 1,874.98, 2,810.31 and 1,224.58

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Solution

The fourth proportional to 1,874.98, 2,810.31 and 1,224.58 is: 1,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.98 : 2,810.31 = 1,224.58 : x
  2. Step 2: Convert to fraction form
    1,874.98/2,810.31 = 1,224.58/x
  3. Step 3: Cross multiply
    1,874.98x = 2,810.31 × 1,224.58
  4. Step 4: Simplify right side
    1,874.98x = 3,441,449.42
  5. Step 5: Solve for x
    x = 3,441,449.42/1,874.98
  6. Step 6: Final answer
    x = 1,835.46

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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.