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Finding the Fourth Proportional to 12,290.78, 18,436.08 and 3,056.78

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Solution

The fourth proportional to 12,290.78, 18,436.08 and 3,056.78 is: 4,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.78 : 18,436.08 = 3,056.78 : x
  2. Step 2: Convert to fraction form
    12,290.78/18,436.08 = 3,056.78/x
  3. Step 3: Cross multiply
    12,290.78x = 18,436.08 × 3,056.78
  4. Step 4: Simplify right side
    12,290.78x = 56,355,040.62
  5. Step 5: Solve for x
    x = 56,355,040.62/12,290.78
  6. Step 6: Final answer
    x = 4,585.15

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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.