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Finding the Fourth Proportional to 13,466.33, 18,586.81 and 7,800.17

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Solution

The fourth proportional to 13,466.33, 18,586.81 and 7,800.17 is: 10,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.33 : 18,586.81 = 7,800.17 : x
  2. Step 2: Convert to fraction form
    13,466.33/18,586.81 = 7,800.17/x
  3. Step 3: Cross multiply
    13,466.33x = 18,586.81 × 7,800.17
  4. Step 4: Simplify right side
    13,466.33x = 144,980,194.57
  5. Step 5: Solve for x
    x = 144,980,194.57/13,466.33
  6. Step 6: Final answer
    x = 10,766.12

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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.