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Finding the Fourth Proportional to 13,704.80, 18,913.08 and 8,398.59

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Solution

The fourth proportional to 13,704.80, 18,913.08 and 8,398.59 is: 11,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.80 : 18,913.08 = 8,398.59 : x
  2. Step 2: Convert to fraction form
    13,704.80/18,913.08 = 8,398.59/x
  3. Step 3: Cross multiply
    13,704.80x = 18,913.08 × 8,398.59
  4. Step 4: Simplify right side
    13,704.80x = 158,843,137.60
  5. Step 5: Solve for x
    x = 158,843,137.60/13,704.80
  6. Step 6: Final answer
    x = 11,590.33

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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.