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Finding the Fourth Proportional to 11,984.22, 16,538.26 and 6,678.90

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Solution

The fourth proportional to 11,984.22, 16,538.26 and 6,678.90 is: 9,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.22 : 16,538.26 = 6,678.90 : x
  2. Step 2: Convert to fraction form
    11,984.22/16,538.26 = 6,678.90/x
  3. Step 3: Cross multiply
    11,984.22x = 16,538.26 × 6,678.90
  4. Step 4: Simplify right side
    11,984.22x = 110,457,384.71
  5. Step 5: Solve for x
    x = 110,457,384.71/11,984.22
  6. Step 6: Final answer
    x = 9,216.90

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