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Finding the Fourth Proportional to 12,874.72, 17,769.88 and 7,840.60

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Solution

The fourth proportional to 12,874.72, 17,769.88 and 7,840.60 is: 10,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.72 : 17,769.88 = 7,840.60 : x
  2. Step 2: Convert to fraction form
    12,874.72/17,769.88 = 7,840.60/x
  3. Step 3: Cross multiply
    12,874.72x = 17,769.88 × 7,840.60
  4. Step 4: Simplify right side
    12,874.72x = 139,326,521.13
  5. Step 5: Solve for x
    x = 139,326,521.13/12,874.72
  6. Step 6: Final answer
    x = 10,821.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.