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Finding the Fourth Proportional to 1,997.64, 3,007.08 and 1,537.92

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Solution

The fourth proportional to 1,997.64, 3,007.08 and 1,537.92 is: 2,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 3,007.08 = 1,537.92 : x
  2. Step 2: Convert to fraction form
    1,997.64/3,007.08 = 1,537.92/x
  3. Step 3: Cross multiply
    1,997.64x = 3,007.08 × 1,537.92
  4. Step 4: Simplify right side
    1,997.64x = 4,624,648.47
  5. Step 5: Solve for x
    x = 4,624,648.47/1,997.64
  6. Step 6: Final answer
    x = 2,315.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.