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Finding the Fourth Proportional to 34,597.87, 47,743.92 and 21,857.83

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Solution

The fourth proportional to 34,597.87, 47,743.92 and 21,857.83 is: 30,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.87 : 47,743.92 = 21,857.83 : x
  2. Step 2: Convert to fraction form
    34,597.87/47,743.92 = 21,857.83/x
  3. Step 3: Cross multiply
    34,597.87x = 47,743.92 × 21,857.83
  4. Step 4: Simplify right side
    34,597.87x = 1,043,578,486.89
  5. Step 5: Solve for x
    x = 1,043,578,486.89/34,597.87
  6. Step 6: Final answer
    x = 30,163.08

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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.