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Finding the Fourth Proportional to 5,164.47, 7,128 and 3,278.30

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Solution

The fourth proportional to 5,164.47, 7,128 and 3,278.30 is: 4,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.47 : 7,128 = 3,278.30 : x
  2. Step 2: Convert to fraction form
    5,164.47/7,128 = 3,278.30/x
  3. Step 3: Cross multiply
    5,164.47x = 7,128 × 3,278.30
  4. Step 4: Simplify right side
    5,164.47x = 23,367,722.40
  5. Step 5: Solve for x
    x = 23,367,722.40/5,164.47
  6. Step 6: Final answer
    x = 4,524.71

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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.