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Finding the Fourth Proportional to 5,979.98, 8,217.74 and 5,705.58

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Solution

The fourth proportional to 5,979.98, 8,217.74 and 5,705.58 is: 7,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.98 : 8,217.74 = 5,705.58 : x
  2. Step 2: Convert to fraction form
    5,979.98/8,217.74 = 5,705.58/x
  3. Step 3: Cross multiply
    5,979.98x = 8,217.74 × 5,705.58
  4. Step 4: Simplify right side
    5,979.98x = 46,886,972.99
  5. Step 5: Solve for x
    x = 46,886,972.99/5,979.98
  6. Step 6: Final answer
    x = 7,840.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.