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Finding the Fourth Proportional to 10,842.24, 16,268.22 and 9,986.88

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Solution

The fourth proportional to 10,842.24, 16,268.22 and 9,986.88 is: 14,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.24 : 16,268.22 = 9,986.88 : x
  2. Step 2: Convert to fraction form
    10,842.24/16,268.22 = 9,986.88/x
  3. Step 3: Cross multiply
    10,842.24x = 16,268.22 × 9,986.88
  4. Step 4: Simplify right side
    10,842.24x = 162,468,760.95
  5. Step 5: Solve for x
    x = 162,468,760.95/10,842.24
  6. Step 6: Final answer
    x = 14,984.80

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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.