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Finding the Fourth Proportional to 10,720.86, 16,087.62 and 5,981

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Solution

The fourth proportional to 10,720.86, 16,087.62 and 5,981 is: 8,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.86 : 16,087.62 = 5,981 : x
  2. Step 2: Convert to fraction form
    10,720.86/16,087.62 = 5,981/x
  3. Step 3: Cross multiply
    10,720.86x = 16,087.62 × 5,981
  4. Step 4: Simplify right side
    10,720.86x = 96,220,055.22
  5. Step 5: Solve for x
    x = 96,220,055.22/10,720.86
  6. Step 6: Final answer
    x = 8,975.03

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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.