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Finding the Fourth Proportional to 12,975.20, 19,446.80 and 8,815.20

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Solution

The fourth proportional to 12,975.20, 19,446.80 and 8,815.20 is: 13,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.20 : 19,446.80 = 8,815.20 : x
  2. Step 2: Convert to fraction form
    12,975.20/19,446.80 = 8,815.20/x
  3. Step 3: Cross multiply
    12,975.20x = 19,446.80 × 8,815.20
  4. Step 4: Simplify right side
    12,975.20x = 171,427,431.36
  5. Step 5: Solve for x
    x = 171,427,431.36/12,975.20
  6. Step 6: Final answer
    x = 13,211.93

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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.