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Finding the Fourth Proportional to 2,788.50, 3,847.98 and 1,529.53

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Solution

The fourth proportional to 2,788.50, 3,847.98 and 1,529.53 is: 2,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.50 : 3,847.98 = 1,529.53 : x
  2. Step 2: Convert to fraction form
    2,788.50/3,847.98 = 1,529.53/x
  3. Step 3: Cross multiply
    2,788.50x = 3,847.98 × 1,529.53
  4. Step 4: Simplify right side
    2,788.50x = 5,885,614.31
  5. Step 5: Solve for x
    x = 5,885,614.31/2,788.50
  6. Step 6: Final answer
    x = 2,110.67

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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.