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Finding the Fourth Proportional to 25,777, 38,626.14 and 18,397

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Solution

The fourth proportional to 25,777, 38,626.14 and 18,397 is: 27,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777 : 38,626.14 = 18,397 : x
  2. Step 2: Convert to fraction form
    25,777/38,626.14 = 18,397/x
  3. Step 3: Cross multiply
    25,777x = 38,626.14 × 18,397
  4. Step 4: Simplify right side
    25,777x = 710,605,097.58
  5. Step 5: Solve for x
    x = 710,605,097.58/25,777
  6. Step 6: Final answer
    x = 27,567.41

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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.