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Finding the Fourth Proportional to 5,164.97, 7,128.09 and 2,927.25

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Solution

The fourth proportional to 5,164.97, 7,128.09 and 2,927.25 is: 4,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.97 : 7,128.09 = 2,927.25 : x
  2. Step 2: Convert to fraction form
    5,164.97/7,128.09 = 2,927.25/x
  3. Step 3: Cross multiply
    5,164.97x = 7,128.09 × 2,927.25
  4. Step 4: Simplify right side
    5,164.97x = 20,865,701.45
  5. Step 5: Solve for x
    x = 20,865,701.45/5,164.97
  6. Step 6: Final answer
    x = 4,039.85

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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.