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Finding the Fourth Proportional to 2,637, 3,952.46 and 992.50

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Solution

The fourth proportional to 2,637, 3,952.46 and 992.50 is: 1,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637 : 3,952.46 = 992.50 : x
  2. Step 2: Convert to fraction form
    2,637/3,952.46 = 992.50/x
  3. Step 3: Cross multiply
    2,637x = 3,952.46 × 992.50
  4. Step 4: Simplify right side
    2,637x = 3,922,816.55
  5. Step 5: Solve for x
    x = 3,922,816.55/2,637
  6. Step 6: Final answer
    x = 1,487.61

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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.