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Finding the Fourth Proportional to 25,850.75, 38,774.81 and 7,130.96

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Solution

The fourth proportional to 25,850.75, 38,774.81 and 7,130.96 is: 10,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.75 : 38,774.81 = 7,130.96 : x
  2. Step 2: Convert to fraction form
    25,850.75/38,774.81 = 7,130.96/x
  3. Step 3: Cross multiply
    25,850.75x = 38,774.81 × 7,130.96
  4. Step 4: Simplify right side
    25,850.75x = 276,501,619.12
  5. Step 5: Solve for x
    x = 276,501,619.12/25,850.75
  6. Step 6: Final answer
    x = 10,696.08

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