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Finding the Fourth Proportional to 7,868.96, 11,803.44 and 3,705.92

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Solution

The fourth proportional to 7,868.96, 11,803.44 and 3,705.92 is: 5,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.96 : 11,803.44 = 3,705.92 : x
  2. Step 2: Convert to fraction form
    7,868.96/11,803.44 = 3,705.92/x
  3. Step 3: Cross multiply
    7,868.96x = 11,803.44 × 3,705.92
  4. Step 4: Simplify right side
    7,868.96x = 43,742,604.36
  5. Step 5: Solve for x
    x = 43,742,604.36/7,868.96
  6. Step 6: Final answer
    x = 5,558.88

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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.