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Finding the Fourth Proportional to 38,809, 58,214.04 and 11,107

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Solution

The fourth proportional to 38,809, 58,214.04 and 11,107 is: 16,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,809 : 58,214.04 = 11,107 : x
  2. Step 2: Convert to fraction form
    38,809/58,214.04 = 11,107/x
  3. Step 3: Cross multiply
    38,809x = 58,214.04 × 11,107
  4. Step 4: Simplify right side
    38,809x = 646,583,342.28
  5. Step 5: Solve for x
    x = 646,583,342.28/38,809
  6. Step 6: Final answer
    x = 16,660.65

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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.