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Finding the Fourth Proportional to 2,576.01, 3,864 and 726.90

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Solution

The fourth proportional to 2,576.01, 3,864 and 726.90 is: 1,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.01 : 3,864 = 726.90 : x
  2. Step 2: Convert to fraction form
    2,576.01/3,864 = 726.90/x
  3. Step 3: Cross multiply
    2,576.01x = 3,864 × 726.90
  4. Step 4: Simplify right side
    2,576.01x = 2,808,741.60
  5. Step 5: Solve for x
    x = 2,808,741.60/2,576.01
  6. Step 6: Final answer
    x = 1,090.35

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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.