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Finding the Fourth Proportional to 21,871.92, 32,813.08 and 7,080.83

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Solution

The fourth proportional to 21,871.92, 32,813.08 and 7,080.83 is: 10,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.92 : 32,813.08 = 7,080.83 : x
  2. Step 2: Convert to fraction form
    21,871.92/32,813.08 = 7,080.83/x
  3. Step 3: Cross multiply
    21,871.92x = 32,813.08 × 7,080.83
  4. Step 4: Simplify right side
    21,871.92x = 232,343,805.85
  5. Step 5: Solve for x
    x = 232,343,805.85/21,871.92
  6. Step 6: Final answer
    x = 10,622.93

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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.