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Finding the Fourth Proportional to 8,334.85, 11,478.76 and 8,153.41

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Solution

The fourth proportional to 8,334.85, 11,478.76 and 8,153.41 is: 11,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.85 : 11,478.76 = 8,153.41 : x
  2. Step 2: Convert to fraction form
    8,334.85/11,478.76 = 8,153.41/x
  3. Step 3: Cross multiply
    8,334.85x = 11,478.76 × 8,153.41
  4. Step 4: Simplify right side
    8,334.85x = 93,591,036.57
  5. Step 5: Solve for x
    x = 93,591,036.57/8,334.85
  6. Step 6: Final answer
    x = 11,228.88

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Half scale
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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.