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Finding the Fourth Proportional to 1,874.31, 2,586 and 1,211.55

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Solution

The fourth proportional to 1,874.31, 2,586 and 1,211.55 is: 1,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.31 : 2,586 = 1,211.55 : x
  2. Step 2: Convert to fraction form
    1,874.31/2,586 = 1,211.55/x
  3. Step 3: Cross multiply
    1,874.31x = 2,586 × 1,211.55
  4. Step 4: Simplify right side
    1,874.31x = 3,133,068.30
  5. Step 5: Solve for x
    x = 3,133,068.30/1,874.31
  6. Step 6: Final answer
    x = 1,671.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.