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Finding the Fourth Proportional to 2,564.26, 3,846.54 and 690.43

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Solution

The fourth proportional to 2,564.26, 3,846.54 and 690.43 is: 1,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.26 : 3,846.54 = 690.43 : x
  2. Step 2: Convert to fraction form
    2,564.26/3,846.54 = 690.43/x
  3. Step 3: Cross multiply
    2,564.26x = 3,846.54 × 690.43
  4. Step 4: Simplify right side
    2,564.26x = 2,655,758.72
  5. Step 5: Solve for x
    x = 2,655,758.72/2,564.26
  6. Step 6: Final answer
    x = 1,035.68

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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.