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Finding the Fourth Proportional to 52,659.87, 72,628.79 and 39,782.09

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Solution

The fourth proportional to 52,659.87, 72,628.79 and 39,782.09 is: 54,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,659.87 : 72,628.79 = 39,782.09 : x
  2. Step 2: Convert to fraction form
    52,659.87/72,628.79 = 39,782.09/x
  3. Step 3: Cross multiply
    52,659.87x = 72,628.79 × 39,782.09
  4. Step 4: Simplify right side
    52,659.87x = 2,889,324,597.77
  5. Step 5: Solve for x
    x = 2,889,324,597.77/52,659.87
  6. Step 6: Final answer
    x = 54,867.67

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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.