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Finding the Fourth Proportional to 6,299.94, 9,474.55 and 5,315.79

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Solution

The fourth proportional to 6,299.94, 9,474.55 and 5,315.79 is: 7,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.94 : 9,474.55 = 5,315.79 : x
  2. Step 2: Convert to fraction form
    6,299.94/9,474.55 = 5,315.79/x
  3. Step 3: Cross multiply
    6,299.94x = 9,474.55 × 5,315.79
  4. Step 4: Simplify right side
    6,299.94x = 50,364,718.14
  5. Step 5: Solve for x
    x = 50,364,718.14/6,299.94
  6. Step 6: Final answer
    x = 7,994.48

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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.