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Finding the Fourth Proportional to 13,433.56, 18,536.70 and 7,463.74

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Solution

The fourth proportional to 13,433.56, 18,536.70 and 7,463.74 is: 10,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.56 : 18,536.70 = 7,463.74 : x
  2. Step 2: Convert to fraction form
    13,433.56/18,536.70 = 7,463.74/x
  3. Step 3: Cross multiply
    13,433.56x = 18,536.70 × 7,463.74
  4. Step 4: Simplify right side
    13,433.56x = 138,353,109.26
  5. Step 5: Solve for x
    x = 138,353,109.26/13,433.56
  6. Step 6: Final answer
    x = 10,299.07

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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.