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Finding the Fourth Proportional to 21,664.92, 32,485.22 and 6,871.08

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Solution

The fourth proportional to 21,664.92, 32,485.22 and 6,871.08 is: 10,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.92 : 32,485.22 = 6,871.08 : x
  2. Step 2: Convert to fraction form
    21,664.92/32,485.22 = 6,871.08/x
  3. Step 3: Cross multiply
    21,664.92x = 32,485.22 × 6,871.08
  4. Step 4: Simplify right side
    21,664.92x = 223,208,545.44
  5. Step 5: Solve for x
    x = 223,208,545.44/21,664.92
  6. Step 6: Final answer
    x = 10,302.76

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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.