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Finding the Fourth Proportional to 7,804.16, 11,706.24 and 3,904.64

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Solution

The fourth proportional to 7,804.16, 11,706.24 and 3,904.64 is: 5,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.16 : 11,706.24 = 3,904.64 : x
  2. Step 2: Convert to fraction form
    7,804.16/11,706.24 = 3,904.64/x
  3. Step 3: Cross multiply
    7,804.16x = 11,706.24 × 3,904.64
  4. Step 4: Simplify right side
    7,804.16x = 45,708,652.95
  5. Step 5: Solve for x
    x = 45,708,652.95/7,804.16
  6. Step 6: Final answer
    x = 5,856.96

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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.