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Finding the Fourth Proportional to 27,504.63, 41,257.76 and 7,784.78

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Solution

The fourth proportional to 27,504.63, 41,257.76 and 7,784.78 is: 11,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.63 : 41,257.76 = 7,784.78 : x
  2. Step 2: Convert to fraction form
    27,504.63/41,257.76 = 7,784.78/x
  3. Step 3: Cross multiply
    27,504.63x = 41,257.76 × 7,784.78
  4. Step 4: Simplify right side
    27,504.63x = 321,182,339.68
  5. Step 5: Solve for x
    x = 321,182,339.68/27,504.63
  6. Step 6: Final answer
    x = 11,677.39

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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.