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Finding the Fourth Proportional to 27,890.77, 41,830.78 and 7,900.11

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Solution

The fourth proportional to 27,890.77, 41,830.78 and 7,900.11 is: 11,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890.77 : 41,830.78 = 7,900.11 : x
  2. Step 2: Convert to fraction form
    27,890.77/41,830.78 = 7,900.11/x
  3. Step 3: Cross multiply
    27,890.77x = 41,830.78 × 7,900.11
  4. Step 4: Simplify right side
    27,890.77x = 330,467,743.64
  5. Step 5: Solve for x
    x = 330,467,743.64/27,890.77
  6. Step 6: Final answer
    x = 11,848.64

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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.