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Finding the Fourth Proportional to 47,378.39, 65,379.84 and 27,221

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Solution

The fourth proportional to 47,378.39, 65,379.84 and 27,221 is: 37,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378.39 : 65,379.84 = 27,221 : x
  2. Step 2: Convert to fraction form
    47,378.39/65,379.84 = 27,221/x
  3. Step 3: Cross multiply
    47,378.39x = 65,379.84 × 27,221
  4. Step 4: Simplify right side
    47,378.39x = 1,779,704,624.64
  5. Step 5: Solve for x
    x = 1,779,704,624.64/47,378.39
  6. Step 6: Final answer
    x = 37,563.64

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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.