Home / 13,206-19,815.33-8,207.01

Finding the Fourth Proportional to 13,206, 19,815.33 and 8,207.01

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Solution

The fourth proportional to 13,206, 19,815.33 and 8,207.01 is: 12,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 19,815.33 = 8,207.01 : x
  2. Step 2: Convert to fraction form
    13,206/19,815.33 = 8,207.01/x
  3. Step 3: Cross multiply
    13,206x = 19,815.33 × 8,207.01
  4. Step 4: Simplify right side
    13,206x = 162,624,611.46
  5. Step 5: Solve for x
    x = 162,624,611.46/13,206
  6. Step 6: Final answer
    x = 12,314.45

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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.