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Finding the Fourth Proportional to 3,032, 4,548 and 2,882.24

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Solution

The fourth proportional to 3,032, 4,548 and 2,882.24 is: 4,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032 : 4,548 = 2,882.24 : x
  2. Step 2: Convert to fraction form
    3,032/4,548 = 2,882.24/x
  3. Step 3: Cross multiply
    3,032x = 4,548 × 2,882.24
  4. Step 4: Simplify right side
    3,032x = 13,108,427.52
  5. Step 5: Solve for x
    x = 13,108,427.52/3,032
  6. Step 6: Final answer
    x = 4,323.36

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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.