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Finding the Fourth Proportional to 5,589.99, 7,713.69 and 3,072.08

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Solution

The fourth proportional to 5,589.99, 7,713.69 and 3,072.08 is: 4,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.99 : 7,713.69 = 3,072.08 : x
  2. Step 2: Convert to fraction form
    5,589.99/7,713.69 = 3,072.08/x
  3. Step 3: Cross multiply
    5,589.99x = 7,713.69 × 3,072.08
  4. Step 4: Simplify right side
    5,589.99x = 23,697,026.53
  5. Step 5: Solve for x
    x = 23,697,026.53/5,589.99
  6. Step 6: Final answer
    x = 4,239.19

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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.