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Finding the Fourth Proportional to 2,576, 3,554.80 and 1,456.94

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Solution

The fourth proportional to 2,576, 3,554.80 and 1,456.94 is: 2,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 3,554.80 = 1,456.94 : x
  2. Step 2: Convert to fraction form
    2,576/3,554.80 = 1,456.94/x
  3. Step 3: Cross multiply
    2,576x = 3,554.80 × 1,456.94
  4. Step 4: Simplify right side
    2,576x = 5,179,130.31
  5. Step 5: Solve for x
    x = 5,179,130.31/2,576
  6. Step 6: Final answer
    x = 2,010.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.