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Finding the Fourth Proportional to 7,884.79, 11,825.48 and 3,203.60

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Solution

The fourth proportional to 7,884.79, 11,825.48 and 3,203.60 is: 4,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.79 : 11,825.48 = 3,203.60 : x
  2. Step 2: Convert to fraction form
    7,884.79/11,825.48 = 3,203.60/x
  3. Step 3: Cross multiply
    7,884.79x = 11,825.48 × 3,203.60
  4. Step 4: Simplify right side
    7,884.79x = 37,884,056.61
  5. Step 5: Solve for x
    x = 37,884,056.61/7,884.79
  6. Step 6: Final answer
    x = 4,804.70

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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.