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Finding the Fourth Proportional to 13,744.80, 18,967.80 and 7,457.16

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Solution

The fourth proportional to 13,744.80, 18,967.80 and 7,457.16 is: 10,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.80 : 18,967.80 = 7,457.16 : x
  2. Step 2: Convert to fraction form
    13,744.80/18,967.80 = 7,457.16/x
  3. Step 3: Cross multiply
    13,744.80x = 18,967.80 × 7,457.16
  4. Step 4: Simplify right side
    13,744.80x = 141,445,919.45
  5. Step 5: Solve for x
    x = 141,445,919.45/13,744.80
  6. Step 6: Final answer
    x = 10,290.87

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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.