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Finding the Fourth Proportional to 13,818.60, 20,736.98 and 7,582.98

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Solution

The fourth proportional to 13,818.60, 20,736.98 and 7,582.98 is: 11,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.60 : 20,736.98 = 7,582.98 : x
  2. Step 2: Convert to fraction form
    13,818.60/20,736.98 = 7,582.98/x
  3. Step 3: Cross multiply
    13,818.60x = 20,736.98 × 7,582.98
  4. Step 4: Simplify right side
    13,818.60x = 157,248,104.60
  5. Step 5: Solve for x
    x = 157,248,104.60/13,818.60
  6. Step 6: Final answer
    x = 11,379.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.