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Finding the Fourth Proportional to 25,851, 38,775.19 and 7,131.21

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Solution

The fourth proportional to 25,851, 38,775.19 and 7,131.21 is: 10,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851 : 38,775.19 = 7,131.21 : x
  2. Step 2: Convert to fraction form
    25,851/38,775.19 = 7,131.21/x
  3. Step 3: Cross multiply
    25,851x = 38,775.19 × 7,131.21
  4. Step 4: Simplify right side
    25,851x = 276,514,022.68
  5. Step 5: Solve for x
    x = 276,514,022.68/25,851
  6. Step 6: Final answer
    x = 10,696.45

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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.