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Finding the Fourth Proportional to 5,705.87, 8,559.71 and 2,418.98

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Solution

The fourth proportional to 5,705.87, 8,559.71 and 2,418.98 is: 3,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.87 : 8,559.71 = 2,418.98 : x
  2. Step 2: Convert to fraction form
    5,705.87/8,559.71 = 2,418.98/x
  3. Step 3: Cross multiply
    5,705.87x = 8,559.71 × 2,418.98
  4. Step 4: Simplify right side
    5,705.87x = 20,705,712.40
  5. Step 5: Solve for x
    x = 20,705,712.40/5,705.87
  6. Step 6: Final answer
    x = 3,628.85

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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.