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Finding the Fourth Proportional to 11,495.11, 15,864.97 and 7,021.44

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Solution

The fourth proportional to 11,495.11, 15,864.97 and 7,021.44 is: 9,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.11 : 15,864.97 = 7,021.44 : x
  2. Step 2: Convert to fraction form
    11,495.11/15,864.97 = 7,021.44/x
  3. Step 3: Cross multiply
    11,495.11x = 15,864.97 × 7,021.44
  4. Step 4: Simplify right side
    11,495.11x = 111,394,820.52
  5. Step 5: Solve for x
    x = 111,394,820.52/11,495.11
  6. Step 6: Final answer
    x = 9,690.63

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1.5x scale

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.