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Finding the Fourth Proportional to 38,747, 58,120.50 and 11,045

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Solution

The fourth proportional to 38,747, 58,120.50 and 11,045 is: 16,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747 : 58,120.50 = 11,045 : x
  2. Step 2: Convert to fraction form
    38,747/58,120.50 = 11,045/x
  3. Step 3: Cross multiply
    38,747x = 58,120.50 × 11,045
  4. Step 4: Simplify right side
    38,747x = 641,940,922.50
  5. Step 5: Solve for x
    x = 641,940,922.50/38,747
  6. Step 6: Final answer
    x = 16,567.50

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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.