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Finding the Fourth Proportional to 9,896.78, 13,650.99 and 6,364.46

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Solution

The fourth proportional to 9,896.78, 13,650.99 and 6,364.46 is: 8,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.78 : 13,650.99 = 6,364.46 : x
  2. Step 2: Convert to fraction form
    9,896.78/13,650.99 = 6,364.46/x
  3. Step 3: Cross multiply
    9,896.78x = 13,650.99 × 6,364.46
  4. Step 4: Simplify right side
    9,896.78x = 86,881,179.82
  5. Step 5: Solve for x
    x = 86,881,179.82/9,896.78
  6. Step 6: Final answer
    x = 8,778.73

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1.5x scale

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.