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Finding the Fourth Proportional to 25,639, 38,458.50 and 7,171

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Solution

The fourth proportional to 25,639, 38,458.50 and 7,171 is: 10,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,639 : 38,458.50 = 7,171 : x
  2. Step 2: Convert to fraction form
    25,639/38,458.50 = 7,171/x
  3. Step 3: Cross multiply
    25,639x = 38,458.50 × 7,171
  4. Step 4: Simplify right side
    25,639x = 275,785,903.50
  5. Step 5: Solve for x
    x = 275,785,903.50/25,639
  6. Step 6: Final answer
    x = 10,756.50

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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.