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Finding the Fourth Proportional to 11,978.68, 17,970.36 and 3,659.08

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Solution

The fourth proportional to 11,978.68, 17,970.36 and 3,659.08 is: 5,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.68 : 17,970.36 = 3,659.08 : x
  2. Step 2: Convert to fraction form
    11,978.68/17,970.36 = 3,659.08/x
  3. Step 3: Cross multiply
    11,978.68x = 17,970.36 × 3,659.08
  4. Step 4: Simplify right side
    11,978.68x = 65,754,984.87
  5. Step 5: Solve for x
    x = 65,754,984.87/11,978.68
  6. Step 6: Final answer
    x = 5,489.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.