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Finding the Fourth Proportional to 12,451.54, 18,681.75 and 6,211

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Solution

The fourth proportional to 12,451.54, 18,681.75 and 6,211 is: 9,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.54 : 18,681.75 = 6,211 : x
  2. Step 2: Convert to fraction form
    12,451.54/18,681.75 = 6,211/x
  3. Step 3: Cross multiply
    12,451.54x = 18,681.75 × 6,211
  4. Step 4: Simplify right side
    12,451.54x = 116,032,349.25
  5. Step 5: Solve for x
    x = 116,032,349.25/12,451.54
  6. Step 6: Final answer
    x = 9,318.71

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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.