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Finding the Fourth Proportional to 3,788.68, 5,670.90 and 2,029.30

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Solution

The fourth proportional to 3,788.68, 5,670.90 and 2,029.30 is: 3,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.68 : 5,670.90 = 2,029.30 : x
  2. Step 2: Convert to fraction form
    3,788.68/5,670.90 = 2,029.30/x
  3. Step 3: Cross multiply
    3,788.68x = 5,670.90 × 2,029.30
  4. Step 4: Simplify right side
    3,788.68x = 11,507,957.37
  5. Step 5: Solve for x
    x = 11,507,957.37/3,788.68
  6. Step 6: Final answer
    x = 3,037.46

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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.