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Finding the Fourth Proportional to 34,305, 47,340.96 and 19,401

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Solution

The fourth proportional to 34,305, 47,340.96 and 19,401 is: 26,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305 : 47,340.96 = 19,401 : x
  2. Step 2: Convert to fraction form
    34,305/47,340.96 = 19,401/x
  3. Step 3: Cross multiply
    34,305x = 47,340.96 × 19,401
  4. Step 4: Simplify right side
    34,305x = 918,461,964.96
  5. Step 5: Solve for x
    x = 918,461,964.96/34,305
  6. Step 6: Final answer
    x = 26,773.41

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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.