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Finding the Fourth Proportional to 1,731.52, 2,388 and 1,576

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Solution

The fourth proportional to 1,731.52, 2,388 and 1,576 is: 2,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.52 : 2,388 = 1,576 : x
  2. Step 2: Convert to fraction form
    1,731.52/2,388 = 1,576/x
  3. Step 3: Cross multiply
    1,731.52x = 2,388 × 1,576
  4. Step 4: Simplify right side
    1,731.52x = 3,763,488
  5. Step 5: Solve for x
    x = 3,763,488/1,731.52
  6. Step 6: Final answer
    x = 2,173.52

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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.