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Finding the Fourth Proportional to 5,461.84, 8,193.94 and 1,999

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Solution

The fourth proportional to 5,461.84, 8,193.94 and 1,999 is: 2,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.84 : 8,193.94 = 1,999 : x
  2. Step 2: Convert to fraction form
    5,461.84/8,193.94 = 1,999/x
  3. Step 3: Cross multiply
    5,461.84x = 8,193.94 × 1,999
  4. Step 4: Simplify right side
    5,461.84x = 16,379,686.06
  5. Step 5: Solve for x
    x = 16,379,686.06/5,461.84
  6. Step 6: Final answer
    x = 2,998.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.