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Finding the Fourth Proportional to 29,811, 41,147.82 and 19,875

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Solution

The fourth proportional to 29,811, 41,147.82 and 19,875 is: 27,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811 : 41,147.82 = 19,875 : x
  2. Step 2: Convert to fraction form
    29,811/41,147.82 = 19,875/x
  3. Step 3: Cross multiply
    29,811x = 41,147.82 × 19,875
  4. Step 4: Simplify right side
    29,811x = 817,812,922.50
  5. Step 5: Solve for x
    x = 817,812,922.50/29,811
  6. Step 6: Final answer
    x = 27,433.26

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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.