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Finding the Fourth Proportional to 4,086.50, 6,129.84 and 1,008.50

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Solution

The fourth proportional to 4,086.50, 6,129.84 and 1,008.50 is: 1,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.50 : 6,129.84 = 1,008.50 : x
  2. Step 2: Convert to fraction form
    4,086.50/6,129.84 = 1,008.50/x
  3. Step 3: Cross multiply
    4,086.50x = 6,129.84 × 1,008.50
  4. Step 4: Simplify right side
    4,086.50x = 6,181,943.64
  5. Step 5: Solve for x
    x = 6,181,943.64/4,086.50
  6. Step 6: Final answer
    x = 1,512.77

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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.