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Finding the Fourth Proportional to 4,200.87, 6,302.72 and 1,861.45

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Solution

The fourth proportional to 4,200.87, 6,302.72 and 1,861.45 is: 2,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.87 : 6,302.72 = 1,861.45 : x
  2. Step 2: Convert to fraction form
    4,200.87/6,302.72 = 1,861.45/x
  3. Step 3: Cross multiply
    4,200.87x = 6,302.72 × 1,861.45
  4. Step 4: Simplify right side
    4,200.87x = 11,732,198.14
  5. Step 5: Solve for x
    x = 11,732,198.14/4,200.87
  6. Step 6: Final answer
    x = 2,792.80

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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.