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Finding the Fourth Proportional to 8,153.34, 11,250.83 and 6,478.80

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Solution

The fourth proportional to 8,153.34, 11,250.83 and 6,478.80 is: 8,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.34 : 11,250.83 = 6,478.80 : x
  2. Step 2: Convert to fraction form
    8,153.34/11,250.83 = 6,478.80/x
  3. Step 3: Cross multiply
    8,153.34x = 11,250.83 × 6,478.80
  4. Step 4: Simplify right side
    8,153.34x = 72,891,845.01
  5. Step 5: Solve for x
    x = 72,891,845.01/8,153.34
  6. Step 6: Final answer
    x = 8,940.12

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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.