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Finding the Fourth Proportional to 11,197.89, 15,453.06 and 6,484.89

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Solution

The fourth proportional to 11,197.89, 15,453.06 and 6,484.89 is: 8,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.89 : 15,453.06 = 6,484.89 : x
  2. Step 2: Convert to fraction form
    11,197.89/15,453.06 = 6,484.89/x
  3. Step 3: Cross multiply
    11,197.89x = 15,453.06 × 6,484.89
  4. Step 4: Simplify right side
    11,197.89x = 100,211,394.26
  5. Step 5: Solve for x
    x = 100,211,394.26/11,197.89
  6. Step 6: Final answer
    x = 8,949.13

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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.