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Finding the Fourth Proportional to 13,186, 19,778.95 and 5,292.06

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Solution

The fourth proportional to 13,186, 19,778.95 and 5,292.06 is: 7,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186 : 19,778.95 = 5,292.06 : x
  2. Step 2: Convert to fraction form
    13,186/19,778.95 = 5,292.06/x
  3. Step 3: Cross multiply
    13,186x = 19,778.95 × 5,292.06
  4. Step 4: Simplify right side
    13,186x = 104,671,390.14
  5. Step 5: Solve for x
    x = 104,671,390.14/13,186
  6. Step 6: Final answer
    x = 7,938.07

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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.