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Finding the Fourth Proportional to 34,003, 51,007.38 and 9,379

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Solution

The fourth proportional to 34,003, 51,007.38 and 9,379 is: 14,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,003 : 51,007.38 = 9,379 : x
  2. Step 2: Convert to fraction form
    34,003/51,007.38 = 9,379/x
  3. Step 3: Cross multiply
    34,003x = 51,007.38 × 9,379
  4. Step 4: Simplify right side
    34,003x = 478,398,217.02
  5. Step 5: Solve for x
    x = 478,398,217.02/34,003
  6. Step 6: Final answer
    x = 14,069.29

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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.