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Finding the Fourth Proportional to 12,466.50, 18,724.65 and 7,794.82

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Solution

The fourth proportional to 12,466.50, 18,724.65 and 7,794.82 is: 11,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.50 : 18,724.65 = 7,794.82 : x
  2. Step 2: Convert to fraction form
    12,466.50/18,724.65 = 7,794.82/x
  3. Step 3: Cross multiply
    12,466.50x = 18,724.65 × 7,794.82
  4. Step 4: Simplify right side
    12,466.50x = 145,955,276.31
  5. Step 5: Solve for x
    x = 145,955,276.31/12,466.50
  6. Step 6: Final answer
    x = 11,707.80

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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.