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Finding the Fourth Proportional to 11,615.14, 17,422.01 and 4,119.07

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Solution

The fourth proportional to 11,615.14, 17,422.01 and 4,119.07 is: 6,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.14 : 17,422.01 = 4,119.07 : x
  2. Step 2: Convert to fraction form
    11,615.14/17,422.01 = 4,119.07/x
  3. Step 3: Cross multiply
    11,615.14x = 17,422.01 × 4,119.07
  4. Step 4: Simplify right side
    11,615.14x = 71,762,503.97
  5. Step 5: Solve for x
    x = 71,762,503.97/11,615.14
  6. Step 6: Final answer
    x = 6,178.36

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1.5x scale

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.