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Finding the Fourth Proportional to 35,871.39, 49,511.05 and 21,721.50

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Solution

The fourth proportional to 35,871.39, 49,511.05 and 21,721.50 is: 29,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.39 : 49,511.05 = 21,721.50 : x
  2. Step 2: Convert to fraction form
    35,871.39/49,511.05 = 21,721.50/x
  3. Step 3: Cross multiply
    35,871.39x = 49,511.05 × 21,721.50
  4. Step 4: Simplify right side
    35,871.39x = 1,075,454,218.27
  5. Step 5: Solve for x
    x = 1,075,454,218.27/35,871.39
  6. Step 6: Final answer
    x = 29,980.83

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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.