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Finding the Fourth Proportional to 21,871.89, 32,804.39 and 7,829.73

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Solution

The fourth proportional to 21,871.89, 32,804.39 and 7,829.73 is: 11,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.89 : 32,804.39 = 7,829.73 : x
  2. Step 2: Convert to fraction form
    21,871.89/32,804.39 = 7,829.73/x
  3. Step 3: Cross multiply
    21,871.89x = 32,804.39 × 7,829.73
  4. Step 4: Simplify right side
    21,871.89x = 256,849,536.09
  5. Step 5: Solve for x
    x = 256,849,536.09/21,871.89
  6. Step 6: Final answer
    x = 11,743.36

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1.5x scale

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.