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Finding the Fourth Proportional to 13,011, 17,956.08 and 7,422

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Solution

The fourth proportional to 13,011, 17,956.08 and 7,422 is: 10,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 17,956.08 = 7,422 : x
  2. Step 2: Convert to fraction form
    13,011/17,956.08 = 7,422/x
  3. Step 3: Cross multiply
    13,011x = 17,956.08 × 7,422
  4. Step 4: Simplify right side
    13,011x = 133,270,025.76
  5. Step 5: Solve for x
    x = 133,270,025.76/13,011
  6. Step 6: Final answer
    x = 10,242.87

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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.