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Finding the Fourth Proportional to 2,658.27, 3,987.63 and 809.40

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Solution

The fourth proportional to 2,658.27, 3,987.63 and 809.40 is: 1,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.27 : 3,987.63 = 809.40 : x
  2. Step 2: Convert to fraction form
    2,658.27/3,987.63 = 809.40/x
  3. Step 3: Cross multiply
    2,658.27x = 3,987.63 × 809.40
  4. Step 4: Simplify right side
    2,658.27x = 3,227,602.68
  5. Step 5: Solve for x
    x = 3,227,602.68/2,658.27
  6. Step 6: Final answer
    x = 1,214.17

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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.