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Finding the Fourth Proportional to 13,188.74, 18,293.74 and 12,716.06

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Solution

The fourth proportional to 13,188.74, 18,293.74 and 12,716.06 is: 17,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.74 : 18,293.74 = 12,716.06 : x
  2. Step 2: Convert to fraction form
    13,188.74/18,293.74 = 12,716.06/x
  3. Step 3: Cross multiply
    13,188.74x = 18,293.74 × 12,716.06
  4. Step 4: Simplify right side
    13,188.74x = 232,624,231.88
  5. Step 5: Solve for x
    x = 232,624,231.88/13,188.74
  6. Step 6: Final answer
    x = 17,638.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.