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Finding the Fourth Proportional to 21,871.77, 32,804.01 and 7,828.80

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Solution

The fourth proportional to 21,871.77, 32,804.01 and 7,828.80 is: 11,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.77 : 32,804.01 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    21,871.77/32,804.01 = 7,828.80/x
  3. Step 3: Cross multiply
    21,871.77x = 32,804.01 × 7,828.80
  4. Step 4: Simplify right side
    21,871.77x = 256,816,033.49
  5. Step 5: Solve for x
    x = 256,816,033.49/21,871.77
  6. Step 6: Final answer
    x = 11,741.90

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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.