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Finding the Fourth Proportional to 3,847.23, 5,764.64 and 2,528.21

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Solution

The fourth proportional to 3,847.23, 5,764.64 and 2,528.21 is: 3,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.23 : 5,764.64 = 2,528.21 : x
  2. Step 2: Convert to fraction form
    3,847.23/5,764.64 = 2,528.21/x
  3. Step 3: Cross multiply
    3,847.23x = 5,764.64 × 2,528.21
  4. Step 4: Simplify right side
    3,847.23x = 14,574,222.26
  5. Step 5: Solve for x
    x = 14,574,222.26/3,847.23
  6. Step 6: Final answer
    x = 3,788.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.