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Finding the Fourth Proportional to 8,204.64, 11,316 and 7,261.44

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Solution

The fourth proportional to 8,204.64, 11,316 and 7,261.44 is: 10,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.64 : 11,316 = 7,261.44 : x
  2. Step 2: Convert to fraction form
    8,204.64/11,316 = 7,261.44/x
  3. Step 3: Cross multiply
    8,204.64x = 11,316 × 7,261.44
  4. Step 4: Simplify right side
    8,204.64x = 82,170,455.04
  5. Step 5: Solve for x
    x = 82,170,455.04/8,204.64
  6. Step 6: Final answer
    x = 10,015.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.