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Finding the Fourth Proportional to 8,643.12, 12,969 and 3,453.36

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Solution

The fourth proportional to 8,643.12, 12,969 and 3,453.36 is: 5,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.12 : 12,969 = 3,453.36 : x
  2. Step 2: Convert to fraction form
    8,643.12/12,969 = 3,453.36/x
  3. Step 3: Cross multiply
    8,643.12x = 12,969 × 3,453.36
  4. Step 4: Simplify right side
    8,643.12x = 44,786,625.84
  5. Step 5: Solve for x
    x = 44,786,625.84/8,643.12
  6. Step 6: Final answer
    x = 5,181.77

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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.