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Finding the Fourth Proportional to 1,636.31, 2,454.90 and 856.70

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Solution

The fourth proportional to 1,636.31, 2,454.90 and 856.70 is: 1,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.31 : 2,454.90 = 856.70 : x
  2. Step 2: Convert to fraction form
    1,636.31/2,454.90 = 856.70/x
  3. Step 3: Cross multiply
    1,636.31x = 2,454.90 × 856.70
  4. Step 4: Simplify right side
    1,636.31x = 2,103,112.83
  5. Step 5: Solve for x
    x = 2,103,112.83/1,636.31
  6. Step 6: Final answer
    x = 1,285.28

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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.