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Finding the Fourth Proportional to 11,529.76, 15,894.48 and 8,212

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Solution

The fourth proportional to 11,529.76, 15,894.48 and 8,212 is: 11,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.76 : 15,894.48 = 8,212 : x
  2. Step 2: Convert to fraction form
    11,529.76/15,894.48 = 8,212/x
  3. Step 3: Cross multiply
    11,529.76x = 15,894.48 × 8,212
  4. Step 4: Simplify right side
    11,529.76x = 130,525,469.76
  5. Step 5: Solve for x
    x = 130,525,469.76/11,529.76
  6. Step 6: Final answer
    x = 11,320.74

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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.