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Finding the Fourth Proportional to 4,745.99, 7,119.09 and 1,971.88

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Solution

The fourth proportional to 4,745.99, 7,119.09 and 1,971.88 is: 2,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.99 : 7,119.09 = 1,971.88 : x
  2. Step 2: Convert to fraction form
    4,745.99/7,119.09 = 1,971.88/x
  3. Step 3: Cross multiply
    4,745.99x = 7,119.09 × 1,971.88
  4. Step 4: Simplify right side
    4,745.99x = 14,037,973.39
  5. Step 5: Solve for x
    x = 14,037,973.39/4,745.99
  6. Step 6: Final answer
    x = 2,957.86

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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.