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Finding the Fourth Proportional to 11,493.90, 15,861.42 and 6,776.46

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Solution

The fourth proportional to 11,493.90, 15,861.42 and 6,776.46 is: 9,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.90 : 15,861.42 = 6,776.46 : x
  2. Step 2: Convert to fraction form
    11,493.90/15,861.42 = 6,776.46/x
  3. Step 3: Cross multiply
    11,493.90x = 15,861.42 × 6,776.46
  4. Step 4: Simplify right side
    11,493.90x = 107,484,278.17
  5. Step 5: Solve for x
    x = 107,484,278.17/11,493.90
  6. Step 6: Final answer
    x = 9,351.42

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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.