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Finding the Fourth Proportional to 12,680.88, 19,021.38 and 7,684.50

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Solution

The fourth proportional to 12,680.88, 19,021.38 and 7,684.50 is: 11,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.88 : 19,021.38 = 7,684.50 : x
  2. Step 2: Convert to fraction form
    12,680.88/19,021.38 = 7,684.50/x
  3. Step 3: Cross multiply
    12,680.88x = 19,021.38 × 7,684.50
  4. Step 4: Simplify right side
    12,680.88x = 146,169,794.61
  5. Step 5: Solve for x
    x = 146,169,794.61/12,680.88
  6. Step 6: Final answer
    x = 11,526.79

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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.