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Finding the Fourth Proportional to 11,493, 15,859.08 and 7,014.60

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Solution

The fourth proportional to 11,493, 15,859.08 and 7,014.60 is: 9,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 15,859.08 = 7,014.60 : x
  2. Step 2: Convert to fraction form
    11,493/15,859.08 = 7,014.60/x
  3. Step 3: Cross multiply
    11,493x = 15,859.08 × 7,014.60
  4. Step 4: Simplify right side
    11,493x = 111,245,102.57
  5. Step 5: Solve for x
    x = 111,245,102.57/11,493
  6. Step 6: Final answer
    x = 9,679.38

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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.