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Finding the Fourth Proportional to 7,804.08, 11,708.28 and 3,643.92

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Solution

The fourth proportional to 7,804.08, 11,708.28 and 3,643.92 is: 5,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.08 : 11,708.28 = 3,643.92 : x
  2. Step 2: Convert to fraction form
    7,804.08/11,708.28 = 3,643.92/x
  3. Step 3: Cross multiply
    7,804.08x = 11,708.28 × 3,643.92
  4. Step 4: Simplify right side
    7,804.08x = 42,664,035.66
  5. Step 5: Solve for x
    x = 42,664,035.66/7,804.08
  6. Step 6: Final answer
    x = 5,466.89

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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.