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Finding the Fourth Proportional to 4,086.52, 6,129.80 and 1,164.80

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Solution

The fourth proportional to 4,086.52, 6,129.80 and 1,164.80 is: 1,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.52 : 6,129.80 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    4,086.52/6,129.80 = 1,164.80/x
  3. Step 3: Cross multiply
    4,086.52x = 6,129.80 × 1,164.80
  4. Step 4: Simplify right side
    4,086.52x = 7,139,991.04
  5. Step 5: Solve for x
    x = 7,139,991.04/4,086.52
  6. Step 6: Final answer
    x = 1,747.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.