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Finding the Fourth Proportional to 13,531, 18,676.08 and 8,229.34

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Solution

The fourth proportional to 13,531, 18,676.08 and 8,229.34 is: 11,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531 : 18,676.08 = 8,229.34 : x
  2. Step 2: Convert to fraction form
    13,531/18,676.08 = 8,229.34/x
  3. Step 3: Cross multiply
    13,531x = 18,676.08 × 8,229.34
  4. Step 4: Simplify right side
    13,531x = 153,691,812.19
  5. Step 5: Solve for x
    x = 153,691,812.19/13,531
  6. Step 6: Final answer
    x = 11,358.50

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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.