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Finding the Fourth Proportional to 7,890, 11,833.60 and 2,624.48

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Solution

The fourth proportional to 7,890, 11,833.60 and 2,624.48 is: 3,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890 : 11,833.60 = 2,624.48 : x
  2. Step 2: Convert to fraction form
    7,890/11,833.60 = 2,624.48/x
  3. Step 3: Cross multiply
    7,890x = 11,833.60 × 2,624.48
  4. Step 4: Simplify right side
    7,890x = 31,057,046.53
  5. Step 5: Solve for x
    x = 31,057,046.53/7,890
  6. Step 6: Final answer
    x = 3,936.25

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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.