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Finding the Fourth Proportional to 39,322, 54,263.76 and 21,416.56

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Solution

The fourth proportional to 39,322, 54,263.76 and 21,416.56 is: 29,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,322 : 54,263.76 = 21,416.56 : x
  2. Step 2: Convert to fraction form
    39,322/54,263.76 = 21,416.56/x
  3. Step 3: Cross multiply
    39,322x = 54,263.76 × 21,416.56
  4. Step 4: Simplify right side
    39,322x = 1,162,143,071.87
  5. Step 5: Solve for x
    x = 1,162,143,071.87/39,322
  6. Step 6: Final answer
    x = 29,554.53

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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.