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Finding the Fourth Proportional to 9,856.78, 14,785.17 and 3,198.85

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Solution

The fourth proportional to 9,856.78, 14,785.17 and 3,198.85 is: 4,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.78 : 14,785.17 = 3,198.85 : x
  2. Step 2: Convert to fraction form
    9,856.78/14,785.17 = 3,198.85/x
  3. Step 3: Cross multiply
    9,856.78x = 14,785.17 × 3,198.85
  4. Step 4: Simplify right side
    9,856.78x = 47,295,541.05
  5. Step 5: Solve for x
    x = 47,295,541.05/9,856.78
  6. Step 6: Final answer
    x = 4,798.28

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1.5x scale

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.