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Finding the Fourth Proportional to 34,009, 51,016.44 and 9,385

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Solution

The fourth proportional to 34,009, 51,016.44 and 9,385 is: 14,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009 : 51,016.44 = 9,385 : x
  2. Step 2: Convert to fraction form
    34,009/51,016.44 = 9,385/x
  3. Step 3: Cross multiply
    34,009x = 51,016.44 × 9,385
  4. Step 4: Simplify right side
    34,009x = 478,789,289.40
  5. Step 5: Solve for x
    x = 478,789,289.40/34,009
  6. Step 6: Final answer
    x = 14,078.31

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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.