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Finding the Fourth Proportional to 13,754.10, 18,980.67 and 7,466.49

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Solution

The fourth proportional to 13,754.10, 18,980.67 and 7,466.49 is: 10,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.10 : 18,980.67 = 7,466.49 : x
  2. Step 2: Convert to fraction form
    13,754.10/18,980.67 = 7,466.49/x
  3. Step 3: Cross multiply
    13,754.10x = 18,980.67 × 7,466.49
  4. Step 4: Simplify right side
    13,754.10x = 141,718,982.75
  5. Step 5: Solve for x
    x = 141,718,982.75/13,754.10
  6. Step 6: Final answer
    x = 10,303.76

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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.