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Finding the Fourth Proportional to 34,350, 47,403 and 19,446

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Solution

The fourth proportional to 34,350, 47,403 and 19,446 is: 26,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 47,403 = 19,446 : x
  2. Step 2: Convert to fraction form
    34,350/47,403 = 19,446/x
  3. Step 3: Cross multiply
    34,350x = 47,403 × 19,446
  4. Step 4: Simplify right side
    34,350x = 921,798,738
  5. Step 5: Solve for x
    x = 921,798,738/34,350
  6. Step 6: Final answer
    x = 26,835.48

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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.