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Finding the Fourth Proportional to 10,690.51, 16,021.19 and 6,531.97

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Solution

The fourth proportional to 10,690.51, 16,021.19 and 6,531.97 is: 9,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.51 : 16,021.19 = 6,531.97 : x
  2. Step 2: Convert to fraction form
    10,690.51/16,021.19 = 6,531.97/x
  3. Step 3: Cross multiply
    10,690.51x = 16,021.19 × 6,531.97
  4. Step 4: Simplify right side
    10,690.51x = 104,649,899.78
  5. Step 5: Solve for x
    x = 104,649,899.78/10,690.51
  6. Step 6: Final answer
    x = 9,789.05

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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.