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Finding the Fourth Proportional to 47,581, 65,661.78 and 27,709

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Solution

The fourth proportional to 47,581, 65,661.78 and 27,709 is: 38,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581 : 65,661.78 = 27,709 : x
  2. Step 2: Convert to fraction form
    47,581/65,661.78 = 27,709/x
  3. Step 3: Cross multiply
    47,581x = 65,661.78 × 27,709
  4. Step 4: Simplify right side
    47,581x = 1,819,422,262.02
  5. Step 5: Solve for x
    x = 1,819,422,262.02/47,581
  6. Step 6: Final answer
    x = 38,238.42

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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.