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Finding the Fourth Proportional to 10,076.74, 13,907.62 and 6,490.68

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Solution

The fourth proportional to 10,076.74, 13,907.62 and 6,490.68 is: 8,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.74 : 13,907.62 = 6,490.68 : x
  2. Step 2: Convert to fraction form
    10,076.74/13,907.62 = 6,490.68/x
  3. Step 3: Cross multiply
    10,076.74x = 13,907.62 × 6,490.68
  4. Step 4: Simplify right side
    10,076.74x = 90,269,910.98
  5. Step 5: Solve for x
    x = 90,269,910.98/10,076.74
  6. Step 6: Final answer
    x = 8,958.25

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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.