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Finding the Fourth Proportional to 49,764, 74,646.28 and 12,828

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Solution

The fourth proportional to 49,764, 74,646.28 and 12,828 is: 19,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 74,646.28 = 12,828 : x
  2. Step 2: Convert to fraction form
    49,764/74,646.28 = 12,828/x
  3. Step 3: Cross multiply
    49,764x = 74,646.28 × 12,828
  4. Step 4: Simplify right side
    49,764x = 957,562,479.84
  5. Step 5: Solve for x
    x = 957,562,479.84/49,764
  6. Step 6: Final answer
    x = 19,242.07

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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.