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Finding the Fourth Proportional to 25,515, 38,245.16 and 12,338.33

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Solution

The fourth proportional to 25,515, 38,245.16 and 12,338.33 is: 18,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515 : 38,245.16 = 12,338.33 : x
  2. Step 2: Convert to fraction form
    25,515/38,245.16 = 12,338.33/x
  3. Step 3: Cross multiply
    25,515x = 38,245.16 × 12,338.33
  4. Step 4: Simplify right side
    25,515x = 471,881,244.60
  5. Step 5: Solve for x
    x = 471,881,244.60/25,515
  6. Step 6: Final answer
    x = 18,494.27

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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.