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Finding the Fourth Proportional to 12,914.88, 19,372.31 and 3,680.88

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Solution

The fourth proportional to 12,914.88, 19,372.31 and 3,680.88 is: 5,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.88 : 19,372.31 = 3,680.88 : x
  2. Step 2: Convert to fraction form
    12,914.88/19,372.31 = 3,680.88/x
  3. Step 3: Cross multiply
    12,914.88x = 19,372.31 × 3,680.88
  4. Step 4: Simplify right side
    12,914.88x = 71,307,148.43
  5. Step 5: Solve for x
    x = 71,307,148.43/12,914.88
  6. Step 6: Final answer
    x = 5,521.32

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1.5x scale

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.