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Finding the Fourth Proportional to 30,334, 45,501 and 8,446

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Solution

The fourth proportional to 30,334, 45,501 and 8,446 is: 12,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334 : 45,501 = 8,446 : x
  2. Step 2: Convert to fraction form
    30,334/45,501 = 8,446/x
  3. Step 3: Cross multiply
    30,334x = 45,501 × 8,446
  4. Step 4: Simplify right side
    30,334x = 384,301,446
  5. Step 5: Solve for x
    x = 384,301,446/30,334
  6. Step 6: Final answer
    x = 12,669

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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.