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Finding the Fourth Proportional to 1,642.92, 2,463.02 and 1,334.02

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Solution

The fourth proportional to 1,642.92, 2,463.02 and 1,334.02 is: 1,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.92 : 2,463.02 = 1,334.02 : x
  2. Step 2: Convert to fraction form
    1,642.92/2,463.02 = 1,334.02/x
  3. Step 3: Cross multiply
    1,642.92x = 2,463.02 × 1,334.02
  4. Step 4: Simplify right side
    1,642.92x = 3,285,717.94
  5. Step 5: Solve for x
    x = 3,285,717.94/1,642.92
  6. Step 6: Final answer
    x = 1,999.93

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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.