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Finding the Fourth Proportional to 18,570, 25,626.99 and 10,186.50

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Solution

The fourth proportional to 18,570, 25,626.99 and 10,186.50 is: 14,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570 : 25,626.99 = 10,186.50 : x
  2. Step 2: Convert to fraction form
    18,570/25,626.99 = 10,186.50/x
  3. Step 3: Cross multiply
    18,570x = 25,626.99 × 10,186.50
  4. Step 4: Simplify right side
    18,570x = 261,049,333.64
  5. Step 5: Solve for x
    x = 261,049,333.64/18,570
  6. Step 6: Final answer
    x = 14,057.58

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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.