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Finding the Fourth Proportional to 11,778.60, 16,253.78 and 7,243

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Solution

The fourth proportional to 11,778.60, 16,253.78 and 7,243 is: 9,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.60 : 16,253.78 = 7,243 : x
  2. Step 2: Convert to fraction form
    11,778.60/16,253.78 = 7,243/x
  3. Step 3: Cross multiply
    11,778.60x = 16,253.78 × 7,243
  4. Step 4: Simplify right side
    11,778.60x = 117,726,128.54
  5. Step 5: Solve for x
    x = 117,726,128.54/11,778.60
  6. Step 6: Final answer
    x = 9,994.92

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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.