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Finding the Fourth Proportional to 13,011, 17,955.18 and 7,422

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Solution

The fourth proportional to 13,011, 17,955.18 and 7,422 is: 10,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 17,955.18 = 7,422 : x
  2. Step 2: Convert to fraction form
    13,011/17,955.18 = 7,422/x
  3. Step 3: Cross multiply
    13,011x = 17,955.18 × 7,422
  4. Step 4: Simplify right side
    13,011x = 133,263,345.96
  5. Step 5: Solve for x
    x = 133,263,345.96/13,011
  6. Step 6: Final answer
    x = 10,242.36

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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.