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Finding the Fourth Proportional to 2,094.47, 3,141.68 and 513.21

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Solution

The fourth proportional to 2,094.47, 3,141.68 and 513.21 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.47 : 3,141.68 = 513.21 : x
  2. Step 2: Convert to fraction form
    2,094.47/3,141.68 = 513.21/x
  3. Step 3: Cross multiply
    2,094.47x = 3,141.68 × 513.21
  4. Step 4: Simplify right side
    2,094.47x = 1,612,323.32
  5. Step 5: Solve for x
    x = 1,612,323.32/2,094.47
  6. Step 6: Final answer
    x = 769.80

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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.