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Finding the Fourth Proportional to 27,647.65, 41,464.14 and 7,920.91

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Solution

The fourth proportional to 27,647.65, 41,464.14 and 7,920.91 is: 11,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.65 : 41,464.14 = 7,920.91 : x
  2. Step 2: Convert to fraction form
    27,647.65/41,464.14 = 7,920.91/x
  3. Step 3: Cross multiply
    27,647.65x = 41,464.14 × 7,920.91
  4. Step 4: Simplify right side
    27,647.65x = 328,433,721.17
  5. Step 5: Solve for x
    x = 328,433,721.17/27,647.65
  6. Step 6: Final answer
    x = 11,879.26

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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.