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Finding the Fourth Proportional to 25,858.42, 38,786.85 and 7,139.60

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Solution

The fourth proportional to 25,858.42, 38,786.85 and 7,139.60 is: 10,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.42 : 38,786.85 = 7,139.60 : x
  2. Step 2: Convert to fraction form
    25,858.42/38,786.85 = 7,139.60/x
  3. Step 3: Cross multiply
    25,858.42x = 38,786.85 × 7,139.60
  4. Step 4: Simplify right side
    25,858.42x = 276,922,400.33
  5. Step 5: Solve for x
    x = 276,922,400.33/25,858.42
  6. Step 6: Final answer
    x = 10,709.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.