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Finding the Fourth Proportional to 5,816.94, 8,715.02 and 5,412.12

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Solution

The fourth proportional to 5,816.94, 8,715.02 and 5,412.12 is: 8,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.94 : 8,715.02 = 5,412.12 : x
  2. Step 2: Convert to fraction form
    5,816.94/8,715.02 = 5,412.12/x
  3. Step 3: Cross multiply
    5,816.94x = 8,715.02 × 5,412.12
  4. Step 4: Simplify right side
    5,816.94x = 47,166,706.98
  5. Step 5: Solve for x
    x = 47,166,706.98/5,816.94
  6. Step 6: Final answer
    x = 8,108.51

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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.