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Finding the Fourth Proportional to 13,713.96, 18,924.88 and 8,124.96

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Solution

The fourth proportional to 13,713.96, 18,924.88 and 8,124.96 is: 11,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.96 : 18,924.88 = 8,124.96 : x
  2. Step 2: Convert to fraction form
    13,713.96/18,924.88 = 8,124.96/x
  3. Step 3: Cross multiply
    13,713.96x = 18,924.88 × 8,124.96
  4. Step 4: Simplify right side
    13,713.96x = 153,763,893.00
  5. Step 5: Solve for x
    x = 153,763,893.00/13,713.96
  6. Step 6: Final answer
    x = 11,212.22

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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.