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Finding the Fourth Proportional to 25,706.70, 38,540.50 and 17,788.16

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Solution

The fourth proportional to 25,706.70, 38,540.50 and 17,788.16 is: 26,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.70 : 38,540.50 = 17,788.16 : x
  2. Step 2: Convert to fraction form
    25,706.70/38,540.50 = 17,788.16/x
  3. Step 3: Cross multiply
    25,706.70x = 38,540.50 × 17,788.16
  4. Step 4: Simplify right side
    25,706.70x = 685,564,491.54
  5. Step 5: Solve for x
    x = 685,564,491.54/25,706.70
  6. Step 6: Final answer
    x = 26,668.71

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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.