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Finding the Fourth Proportional to 27,888, 41,834.40 and 7,111.44

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Solution

The fourth proportional to 27,888, 41,834.40 and 7,111.44 is: 10,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 41,834.40 = 7,111.44 : x
  2. Step 2: Convert to fraction form
    27,888/41,834.40 = 7,111.44/x
  3. Step 3: Cross multiply
    27,888x = 41,834.40 × 7,111.44
  4. Step 4: Simplify right side
    27,888x = 297,502,825.54
  5. Step 5: Solve for x
    x = 297,502,825.54/27,888
  6. Step 6: Final answer
    x = 10,667.77

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1.5x scale

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.