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Finding the Fourth Proportional to 13,764.60, 18,994.44 and 7,476.96

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Solution

The fourth proportional to 13,764.60, 18,994.44 and 7,476.96 is: 10,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.60 : 18,994.44 = 7,476.96 : x
  2. Step 2: Convert to fraction form
    13,764.60/18,994.44 = 7,476.96/x
  3. Step 3: Cross multiply
    13,764.60x = 18,994.44 × 7,476.96
  4. Step 4: Simplify right side
    13,764.60x = 142,020,668.10
  5. Step 5: Solve for x
    x = 142,020,668.10/13,764.60
  6. Step 6: Final answer
    x = 10,317.82

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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.