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Finding the Fourth Proportional to 13,975.78, 20,960.14 and 8,355.06

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Solution

The fourth proportional to 13,975.78, 20,960.14 and 8,355.06 is: 12,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.78 : 20,960.14 = 8,355.06 : x
  2. Step 2: Convert to fraction form
    13,975.78/20,960.14 = 8,355.06/x
  3. Step 3: Cross multiply
    13,975.78x = 20,960.14 × 8,355.06
  4. Step 4: Simplify right side
    13,975.78x = 175,123,227.31
  5. Step 5: Solve for x
    x = 175,123,227.31/13,975.78
  6. Step 6: Final answer
    x = 12,530.48

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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.