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Finding the Fourth Proportional to 13,676.73, 18,864.49 and 8,374.15

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Solution

The fourth proportional to 13,676.73, 18,864.49 and 8,374.15 is: 11,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.73 : 18,864.49 = 8,374.15 : x
  2. Step 2: Convert to fraction form
    13,676.73/18,864.49 = 8,374.15/x
  3. Step 3: Cross multiply
    13,676.73x = 18,864.49 × 8,374.15
  4. Step 4: Simplify right side
    13,676.73x = 157,974,068.93
  5. Step 5: Solve for x
    x = 157,974,068.93/13,676.73
  6. Step 6: Final answer
    x = 11,550.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.