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Finding the Fourth Proportional to 25,858.34, 38,786.74 and 7,139.52

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Solution

The fourth proportional to 25,858.34, 38,786.74 and 7,139.52 is: 10,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.34 : 38,786.74 = 7,139.52 : x
  2. Step 2: Convert to fraction form
    25,858.34/38,786.74 = 7,139.52/x
  3. Step 3: Cross multiply
    25,858.34x = 38,786.74 × 7,139.52
  4. Step 4: Simplify right side
    25,858.34x = 276,918,670.27
  5. Step 5: Solve for x
    x = 276,918,670.27/25,858.34
  6. Step 6: Final answer
    x = 10,709.07

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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.