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Finding the Fourth Proportional to 9,896.87, 13,657.41 and 5,647.86

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Solution

The fourth proportional to 9,896.87, 13,657.41 and 5,647.86 is: 7,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.87 : 13,657.41 = 5,647.86 : x
  2. Step 2: Convert to fraction form
    9,896.87/13,657.41 = 5,647.86/x
  3. Step 3: Cross multiply
    9,896.87x = 13,657.41 × 5,647.86
  4. Step 4: Simplify right side
    9,896.87x = 77,135,071.36
  5. Step 5: Solve for x
    x = 77,135,071.36/9,896.87
  6. Step 6: Final answer
    x = 7,793.89

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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.