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Finding the Fourth Proportional to 2,564.97, 3,845.63 and 1,315.94

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Solution

The fourth proportional to 2,564.97, 3,845.63 and 1,315.94 is: 1,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.97 : 3,845.63 = 1,315.94 : x
  2. Step 2: Convert to fraction form
    2,564.97/3,845.63 = 1,315.94/x
  3. Step 3: Cross multiply
    2,564.97x = 3,845.63 × 1,315.94
  4. Step 4: Simplify right side
    2,564.97x = 5,060,605.44
  5. Step 5: Solve for x
    x = 5,060,605.44/2,564.97
  6. Step 6: Final answer
    x = 1,972.97

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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.