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Finding the Fourth Proportional to 9,896.34, 13,657.20 and 5,647.98

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Solution

The fourth proportional to 9,896.34, 13,657.20 and 5,647.98 is: 7,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.34 : 13,657.20 = 5,647.98 : x
  2. Step 2: Convert to fraction form
    9,896.34/13,657.20 = 5,647.98/x
  3. Step 3: Cross multiply
    9,896.34x = 13,657.20 × 5,647.98
  4. Step 4: Simplify right side
    9,896.34x = 77,135,592.46
  5. Step 5: Solve for x
    x = 77,135,592.46/9,896.34
  6. Step 6: Final answer
    x = 7,794.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.