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Finding the Fourth Proportional to 25,488.50, 38,239.25 and 7,958.48

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Solution

The fourth proportional to 25,488.50, 38,239.25 and 7,958.48 is: 11,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.50 : 38,239.25 = 7,958.48 : x
  2. Step 2: Convert to fraction form
    25,488.50/38,239.25 = 7,958.48/x
  3. Step 3: Cross multiply
    25,488.50x = 38,239.25 × 7,958.48
  4. Step 4: Simplify right side
    25,488.50x = 304,326,075.35
  5. Step 5: Solve for x
    x = 304,326,075.35/25,488.50
  6. Step 6: Final answer
    x = 11,939.74

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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.