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Finding the Fourth Proportional to 1,637.44, 2,453.02 and 1,288.94

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Solution

The fourth proportional to 1,637.44, 2,453.02 and 1,288.94 is: 1,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.44 : 2,453.02 = 1,288.94 : x
  2. Step 2: Convert to fraction form
    1,637.44/2,453.02 = 1,288.94/x
  3. Step 3: Cross multiply
    1,637.44x = 2,453.02 × 1,288.94
  4. Step 4: Simplify right side
    1,637.44x = 3,161,780.11
  5. Step 5: Solve for x
    x = 3,161,780.11/1,637.44
  6. Step 6: Final answer
    x = 1,930.93

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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.