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Finding the Fourth Proportional to 13,536.33, 18,680.01 and 7,486.84

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Solution

The fourth proportional to 13,536.33, 18,680.01 and 7,486.84 is: 10,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.33 : 18,680.01 = 7,486.84 : x
  2. Step 2: Convert to fraction form
    13,536.33/18,680.01 = 7,486.84/x
  3. Step 3: Cross multiply
    13,536.33x = 18,680.01 × 7,486.84
  4. Step 4: Simplify right side
    13,536.33x = 139,854,246.07
  5. Step 5: Solve for x
    x = 139,854,246.07/13,536.33
  6. Step 6: Final answer
    x = 10,331.77

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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.