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Finding the Fourth Proportional to 14,429.76, 19,911.52 and 8,141.76

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Solution

The fourth proportional to 14,429.76, 19,911.52 and 8,141.76 is: 11,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.76 : 19,911.52 = 8,141.76 : x
  2. Step 2: Convert to fraction form
    14,429.76/19,911.52 = 8,141.76/x
  3. Step 3: Cross multiply
    14,429.76x = 19,911.52 × 8,141.76
  4. Step 4: Simplify right side
    14,429.76x = 162,114,817.08
  5. Step 5: Solve for x
    x = 162,114,817.08/14,429.76
  6. Step 6: Final answer
    x = 11,234.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.