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Finding the Fourth Proportional to 25,657.69, 38,457.36 and 10,857.37

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Solution

The fourth proportional to 25,657.69, 38,457.36 and 10,857.37 is: 16,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.69 : 38,457.36 = 10,857.37 : x
  2. Step 2: Convert to fraction form
    25,657.69/38,457.36 = 10,857.37/x
  3. Step 3: Cross multiply
    25,657.69x = 38,457.36 × 10,857.37
  4. Step 4: Simplify right side
    25,657.69x = 417,545,786.74
  5. Step 5: Solve for x
    x = 417,545,786.74/25,657.69
  6. Step 6: Final answer
    x = 16,273.71

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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.