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Finding the Fourth Proportional to 2,576, 3,554.90 and 1,528.96

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Solution

The fourth proportional to 2,576, 3,554.90 and 1,528.96 is: 2,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 3,554.90 = 1,528.96 : x
  2. Step 2: Convert to fraction form
    2,576/3,554.90 = 1,528.96/x
  3. Step 3: Cross multiply
    2,576x = 3,554.90 × 1,528.96
  4. Step 4: Simplify right side
    2,576x = 5,435,299.90
  5. Step 5: Solve for x
    x = 5,435,299.90/2,576
  6. Step 6: Final answer
    x = 2,109.98

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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.