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Finding the Fourth Proportional to 1,586.36, 2,380.21 and 855.08

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Solution

The fourth proportional to 1,586.36, 2,380.21 and 855.08 is: 1,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.36 : 2,380.21 = 855.08 : x
  2. Step 2: Convert to fraction form
    1,586.36/2,380.21 = 855.08/x
  3. Step 3: Cross multiply
    1,586.36x = 2,380.21 × 855.08
  4. Step 4: Simplify right side
    1,586.36x = 2,035,273.95
  5. Step 5: Solve for x
    x = 2,035,273.95/1,586.36
  6. Step 6: Final answer
    x = 1,282.98

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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.