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Finding the Fourth Proportional to 2,134.89, 3,200.13 and 818.28

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Solution

The fourth proportional to 2,134.89, 3,200.13 and 818.28 is: 1,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.89 : 3,200.13 = 818.28 : x
  2. Step 2: Convert to fraction form
    2,134.89/3,200.13 = 818.28/x
  3. Step 3: Cross multiply
    2,134.89x = 3,200.13 × 818.28
  4. Step 4: Simplify right side
    2,134.89x = 2,618,602.38
  5. Step 5: Solve for x
    x = 2,618,602.38/2,134.89
  6. Step 6: Final answer
    x = 1,226.57

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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.