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Finding the Fourth Proportional to 34,682.88, 47,856.96 and 19,776

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Solution

The fourth proportional to 34,682.88, 47,856.96 and 19,776 is: 27,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.88 : 47,856.96 = 19,776 : x
  2. Step 2: Convert to fraction form
    34,682.88/47,856.96 = 19,776/x
  3. Step 3: Cross multiply
    34,682.88x = 47,856.96 × 19,776
  4. Step 4: Simplify right side
    34,682.88x = 946,419,240.96
  5. Step 5: Solve for x
    x = 946,419,240.96/34,682.88
  6. Step 6: Final answer
    x = 27,287.79

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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.