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Finding the Fourth Proportional to 16,986, 25,461.36 and 7,131.36

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Solution

The fourth proportional to 16,986, 25,461.36 and 7,131.36 is: 10,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 25,461.36 = 7,131.36 : x
  2. Step 2: Convert to fraction form
    16,986/25,461.36 = 7,131.36/x
  3. Step 3: Cross multiply
    16,986x = 25,461.36 × 7,131.36
  4. Step 4: Simplify right side
    16,986x = 181,574,124.25
  5. Step 5: Solve for x
    x = 181,574,124.25/16,986
  6. Step 6: Final answer
    x = 10,689.63

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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.