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Finding the Fourth Proportional to 12,157, 18,235.50 and 2,923

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Solution

The fourth proportional to 12,157, 18,235.50 and 2,923 is: 4,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 18,235.50 = 2,923 : x
  2. Step 2: Convert to fraction form
    12,157/18,235.50 = 2,923/x
  3. Step 3: Cross multiply
    12,157x = 18,235.50 × 2,923
  4. Step 4: Simplify right side
    12,157x = 53,302,366.50
  5. Step 5: Solve for x
    x = 53,302,366.50/12,157
  6. Step 6: Final answer
    x = 4,384.50

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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.