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Finding the Fourth Proportional to 2,565.07, 3,847.97 and 809.47

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Solution

The fourth proportional to 2,565.07, 3,847.97 and 809.47 is: 1,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.07 : 3,847.97 = 809.47 : x
  2. Step 2: Convert to fraction form
    2,565.07/3,847.97 = 809.47/x
  3. Step 3: Cross multiply
    2,565.07x = 3,847.97 × 809.47
  4. Step 4: Simplify right side
    2,565.07x = 3,114,812.23
  5. Step 5: Solve for x
    x = 3,114,812.23/2,565.07
  6. Step 6: Final answer
    x = 1,214.32

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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.