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Finding the Fourth Proportional to 13,920.98, 19,211.25 and 8,469.98

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Solution

The fourth proportional to 13,920.98, 19,211.25 and 8,469.98 is: 11,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.98 : 19,211.25 = 8,469.98 : x
  2. Step 2: Convert to fraction form
    13,920.98/19,211.25 = 8,469.98/x
  3. Step 3: Cross multiply
    13,920.98x = 19,211.25 × 8,469.98
  4. Step 4: Simplify right side
    13,920.98x = 162,718,903.28
  5. Step 5: Solve for x
    x = 162,718,903.28/13,920.98
  6. Step 6: Final answer
    x = 11,688.75

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1.5x scale

Why These Related Problems?

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