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Finding the Fourth Proportional to 39,977, 55,173.12 and 23,210

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Solution

The fourth proportional to 39,977, 55,173.12 and 23,210 is: 32,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977 : 55,173.12 = 23,210 : x
  2. Step 2: Convert to fraction form
    39,977/55,173.12 = 23,210/x
  3. Step 3: Cross multiply
    39,977x = 55,173.12 × 23,210
  4. Step 4: Simplify right side
    39,977x = 1,280,568,115.20
  5. Step 5: Solve for x
    x = 1,280,568,115.20/39,977
  6. Step 6: Final answer
    x = 32,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.