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Finding the Fourth Proportional to 7,890.80, 11,836.74 and 2,048

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Solution

The fourth proportional to 7,890.80, 11,836.74 and 2,048 is: 3,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.80 : 11,836.74 = 2,048 : x
  2. Step 2: Convert to fraction form
    7,890.80/11,836.74 = 2,048/x
  3. Step 3: Cross multiply
    7,890.80x = 11,836.74 × 2,048
  4. Step 4: Simplify right side
    7,890.80x = 24,241,643.52
  5. Step 5: Solve for x
    x = 24,241,643.52/7,890.80
  6. Step 6: Final answer
    x = 3,072.14

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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.