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Finding the Fourth Proportional to 2,143.07, 3,214.63 and 809.10

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Solution

The fourth proportional to 2,143.07, 3,214.63 and 809.10 is: 1,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.07 : 3,214.63 = 809.10 : x
  2. Step 2: Convert to fraction form
    2,143.07/3,214.63 = 809.10/x
  3. Step 3: Cross multiply
    2,143.07x = 3,214.63 × 809.10
  4. Step 4: Simplify right side
    2,143.07x = 2,600,961.12
  5. Step 5: Solve for x
    x = 2,600,961.12/2,143.07
  6. Step 6: Final answer
    x = 1,213.66

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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.