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Finding the Fourth Proportional to 8,100, 11,178.81 and 4,955.58

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Solution

The fourth proportional to 8,100, 11,178.81 and 4,955.58 is: 6,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 11,178.81 = 4,955.58 : x
  2. Step 2: Convert to fraction form
    8,100/11,178.81 = 4,955.58/x
  3. Step 3: Cross multiply
    8,100x = 11,178.81 × 4,955.58
  4. Step 4: Simplify right side
    8,100x = 55,397,487.26
  5. Step 5: Solve for x
    x = 55,397,487.26/8,100
  6. Step 6: Final answer
    x = 6,839.20

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Double 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.