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Finding the Fourth Proportional to 1,586.22, 2,380.32 and 856.29

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Solution

The fourth proportional to 1,586.22, 2,380.32 and 856.29 is: 1,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.22 : 2,380.32 = 856.29 : x
  2. Step 2: Convert to fraction form
    1,586.22/2,380.32 = 856.29/x
  3. Step 3: Cross multiply
    1,586.22x = 2,380.32 × 856.29
  4. Step 4: Simplify right side
    1,586.22x = 2,038,244.21
  5. Step 5: Solve for x
    x = 2,038,244.21/1,586.22
  6. Step 6: Final answer
    x = 1,284.97

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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.