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Finding the Fourth Proportional to 14,193.44, 21,303.28 and 7,178.42

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Solution

The fourth proportional to 14,193.44, 21,303.28 and 7,178.42 is: 10,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.44 : 21,303.28 = 7,178.42 : x
  2. Step 2: Convert to fraction form
    14,193.44/21,303.28 = 7,178.42/x
  3. Step 3: Cross multiply
    14,193.44x = 21,303.28 × 7,178.42
  4. Step 4: Simplify right side
    14,193.44x = 152,923,891.22
  5. Step 5: Solve for x
    x = 152,923,891.22/14,193.44
  6. Step 6: Final answer
    x = 10,774.27

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