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Finding the Fourth Proportional to 12,312.69, 18,469.03 and 3,078.69

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Solution

The fourth proportional to 12,312.69, 18,469.03 and 3,078.69 is: 4,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.69 : 18,469.03 = 3,078.69 : x
  2. Step 2: Convert to fraction form
    12,312.69/18,469.03 = 3,078.69/x
  3. Step 3: Cross multiply
    12,312.69x = 18,469.03 × 3,078.69
  4. Step 4: Simplify right side
    12,312.69x = 56,860,417.97
  5. Step 5: Solve for x
    x = 56,860,417.97/12,312.69
  6. Step 6: Final answer
    x = 4,618.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.