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Finding the Fourth Proportional to 11,927.83, 16,459 and 6,621.34

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Solution

The fourth proportional to 11,927.83, 16,459 and 6,621.34 is: 9,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.83 : 16,459 = 6,621.34 : x
  2. Step 2: Convert to fraction form
    11,927.83/16,459 = 6,621.34/x
  3. Step 3: Cross multiply
    11,927.83x = 16,459 × 6,621.34
  4. Step 4: Simplify right side
    11,927.83x = 108,980,635.06
  5. Step 5: Solve for x
    x = 108,980,635.06/11,927.83
  6. Step 6: Final answer
    x = 9,136.67

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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.