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Finding the Fourth Proportional to 12,901, 19,351.74 and 3,667.24

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Solution

The fourth proportional to 12,901, 19,351.74 and 3,667.24 is: 5,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901 : 19,351.74 = 3,667.24 : x
  2. Step 2: Convert to fraction form
    12,901/19,351.74 = 3,667.24/x
  3. Step 3: Cross multiply
    12,901x = 19,351.74 × 3,667.24
  4. Step 4: Simplify right side
    12,901x = 70,967,475.00
  5. Step 5: Solve for x
    x = 70,967,475.00/12,901
  6. Step 6: Final answer
    x = 5,500.93

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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.