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Finding the Fourth Proportional to 35,979, 49,651.02 and 21,075

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Solution

The fourth proportional to 35,979, 49,651.02 and 21,075 is: 29,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,979 : 49,651.02 = 21,075 : x
  2. Step 2: Convert to fraction form
    35,979/49,651.02 = 21,075/x
  3. Step 3: Cross multiply
    35,979x = 49,651.02 × 21,075
  4. Step 4: Simplify right side
    35,979x = 1,046,395,246.50
  5. Step 5: Solve for x
    x = 1,046,395,246.50/35,979
  6. Step 6: Final answer
    x = 29,083.50

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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.