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Finding the Fourth Proportional to 2,647.50, 3,651.93 and 1,762.98

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Solution

The fourth proportional to 2,647.50, 3,651.93 and 1,762.98 is: 2,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.50 : 3,651.93 = 1,762.98 : x
  2. Step 2: Convert to fraction form
    2,647.50/3,651.93 = 1,762.98/x
  3. Step 3: Cross multiply
    2,647.50x = 3,651.93 × 1,762.98
  4. Step 4: Simplify right side
    2,647.50x = 6,438,279.55
  5. Step 5: Solve for x
    x = 6,438,279.55/2,647.50
  6. Step 6: Final answer
    x = 2,431.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.