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Finding the Fourth Proportional to 11,738.40, 17,502.89 and 10,434.40

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Solution

The fourth proportional to 11,738.40, 17,502.89 and 10,434.40 is: 15,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.40 : 17,502.89 = 10,434.40 : x
  2. Step 2: Convert to fraction form
    11,738.40/17,502.89 = 10,434.40/x
  3. Step 3: Cross multiply
    11,738.40x = 17,502.89 × 10,434.40
  4. Step 4: Simplify right side
    11,738.40x = 182,632,187.05
  5. Step 5: Solve for x
    x = 182,632,187.05/11,738.40
  6. Step 6: Final answer
    x = 15,558.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.