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Finding the Fourth Proportional to 2,674.71, 4,012.08 and 726.92

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Solution

The fourth proportional to 2,674.71, 4,012.08 and 726.92 is: 1,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.71 : 4,012.08 = 726.92 : x
  2. Step 2: Convert to fraction form
    2,674.71/4,012.08 = 726.92/x
  3. Step 3: Cross multiply
    2,674.71x = 4,012.08 × 726.92
  4. Step 4: Simplify right side
    2,674.71x = 2,916,441.13
  5. Step 5: Solve for x
    x = 2,916,441.13/2,674.71
  6. Step 6: Final answer
    x = 1,090.38

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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.