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Finding the Fourth Proportional to 39,649.50, 54,716.31 and 21,985.50

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Solution

The fourth proportional to 39,649.50, 54,716.31 and 21,985.50 is: 30,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649.50 : 54,716.31 = 21,985.50 : x
  2. Step 2: Convert to fraction form
    39,649.50/54,716.31 = 21,985.50/x
  3. Step 3: Cross multiply
    39,649.50x = 54,716.31 × 21,985.50
  4. Step 4: Simplify right side
    39,649.50x = 1,202,965,433.51
  5. Step 5: Solve for x
    x = 1,202,965,433.51/39,649.50
  6. Step 6: Final answer
    x = 30,339.99

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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.