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Finding the Fourth Proportional to 8,694.09, 12,978.17 and 7,643.16

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Solution

The fourth proportional to 8,694.09, 12,978.17 and 7,643.16 is: 11,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.09 : 12,978.17 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    8,694.09/12,978.17 = 7,643.16/x
  3. Step 3: Cross multiply
    8,694.09x = 12,978.17 × 7,643.16
  4. Step 4: Simplify right side
    8,694.09x = 99,194,191.60
  5. Step 5: Solve for x
    x = 99,194,191.60/8,694.09
  6. Step 6: Final answer
    x = 11,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.