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Finding the Fourth Proportional to 18,132, 25,022.08 and 10,578.64

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Solution

The fourth proportional to 18,132, 25,022.08 and 10,578.64 is: 14,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132 : 25,022.08 = 10,578.64 : x
  2. Step 2: Convert to fraction form
    18,132/25,022.08 = 10,578.64/x
  3. Step 3: Cross multiply
    18,132x = 25,022.08 × 10,578.64
  4. Step 4: Simplify right side
    18,132x = 264,699,576.37
  5. Step 5: Solve for x
    x = 264,699,576.37/18,132
  6. Step 6: Final answer
    x = 14,598.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.