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Finding the Fourth Proportional to 25,271, 34,873.26 and 13,940.54

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Solution

The fourth proportional to 25,271, 34,873.26 and 13,940.54 is: 19,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271 : 34,873.26 = 13,940.54 : x
  2. Step 2: Convert to fraction form
    25,271/34,873.26 = 13,940.54/x
  3. Step 3: Cross multiply
    25,271x = 34,873.26 × 13,940.54
  4. Step 4: Simplify right side
    25,271x = 486,152,075.96
  5. Step 5: Solve for x
    x = 486,152,075.96/25,271
  6. Step 6: Final answer
    x = 19,237.55

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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.