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Finding the Fourth Proportional to 2,564.35, 3,846.74 and 715.48

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Solution

The fourth proportional to 2,564.35, 3,846.74 and 715.48 is: 1,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.35 : 3,846.74 = 715.48 : x
  2. Step 2: Convert to fraction form
    2,564.35/3,846.74 = 715.48/x
  3. Step 3: Cross multiply
    2,564.35x = 3,846.74 × 715.48
  4. Step 4: Simplify right side
    2,564.35x = 2,752,273.98
  5. Step 5: Solve for x
    x = 2,752,273.98/2,564.35
  6. Step 6: Final answer
    x = 1,073.28

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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.