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Finding the Fourth Proportional to 49,584.09, 74,376.15 and 12,648.09

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Solution

The fourth proportional to 49,584.09, 74,376.15 and 12,648.09 is: 18,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,584.09 : 74,376.15 = 12,648.09 : x
  2. Step 2: Convert to fraction form
    49,584.09/74,376.15 = 12,648.09/x
  3. Step 3: Cross multiply
    49,584.09x = 74,376.15 × 12,648.09
  4. Step 4: Simplify right side
    49,584.09x = 940,716,470.53
  5. Step 5: Solve for x
    x = 940,716,470.53/49,584.09
  6. Step 6: Final answer
    x = 18,972.14

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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.