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Finding the Fourth Proportional to 13,999.80, 19,319 and 8,694.50

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Solution

The fourth proportional to 13,999.80, 19,319 and 8,694.50 is: 11,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.80 : 19,319 = 8,694.50 : x
  2. Step 2: Convert to fraction form
    13,999.80/19,319 = 8,694.50/x
  3. Step 3: Cross multiply
    13,999.80x = 19,319 × 8,694.50
  4. Step 4: Simplify right side
    13,999.80x = 167,969,045.50
  5. Step 5: Solve for x
    x = 167,969,045.50/13,999.80
  6. Step 6: Final answer
    x = 11,997.96

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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.