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Finding the Fourth Proportional to 27,379.78, 37,784.04 and 15,443.08

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Solution

The fourth proportional to 27,379.78, 37,784.04 and 15,443.08 is: 21,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379.78 : 37,784.04 = 15,443.08 : x
  2. Step 2: Convert to fraction form
    27,379.78/37,784.04 = 15,443.08/x
  3. Step 3: Cross multiply
    27,379.78x = 37,784.04 × 15,443.08
  4. Step 4: Simplify right side
    27,379.78x = 583,501,952.44
  5. Step 5: Solve for x
    x = 583,501,952.44/27,379.78
  6. Step 6: Final answer
    x = 21,311.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.