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Finding the Fourth Proportional to 39,708.65, 54,797.76 and 21,804

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Solution

The fourth proportional to 39,708.65, 54,797.76 and 21,804 is: 30,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708.65 : 54,797.76 = 21,804 : x
  2. Step 2: Convert to fraction form
    39,708.65/54,797.76 = 21,804/x
  3. Step 3: Cross multiply
    39,708.65x = 54,797.76 × 21,804
  4. Step 4: Simplify right side
    39,708.65x = 1,194,810,359.04
  5. Step 5: Solve for x
    x = 1,194,810,359.04/39,708.65
  6. Step 6: Final answer
    x = 30,089.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.