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Finding the Fourth Proportional to 9,796.96, 14,670.40 and 5,409.76

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Solution

The fourth proportional to 9,796.96, 14,670.40 and 5,409.76 is: 8,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.96 : 14,670.40 = 5,409.76 : x
  2. Step 2: Convert to fraction form
    9,796.96/14,670.40 = 5,409.76/x
  3. Step 3: Cross multiply
    9,796.96x = 14,670.40 × 5,409.76
  4. Step 4: Simplify right side
    9,796.96x = 79,363,343.10
  5. Step 5: Solve for x
    x = 79,363,343.10/9,796.96
  6. Step 6: Final answer
    x = 8,100.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.