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Finding the Fourth Proportional to 16,930, 25,411.20 and 7,066.63

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Solution

The fourth proportional to 16,930, 25,411.20 and 7,066.63 is: 10,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930 : 25,411.20 = 7,066.63 : x
  2. Step 2: Convert to fraction form
    16,930/25,411.20 = 7,066.63/x
  3. Step 3: Cross multiply
    16,930x = 25,411.20 × 7,066.63
  4. Step 4: Simplify right side
    16,930x = 179,571,548.26
  5. Step 5: Solve for x
    x = 179,571,548.26/16,930
  6. Step 6: Final answer
    x = 10,606.71

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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.