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Finding the Fourth Proportional to 21,957.52, 32,936.30 and 7,166.40

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Solution

The fourth proportional to 21,957.52, 32,936.30 and 7,166.40 is: 10,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.52 : 32,936.30 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    21,957.52/32,936.30 = 7,166.40/x
  3. Step 3: Cross multiply
    21,957.52x = 32,936.30 × 7,166.40
  4. Step 4: Simplify right side
    21,957.52x = 236,034,700.32
  5. Step 5: Solve for x
    x = 236,034,700.32/21,957.52
  6. Step 6: Final answer
    x = 10,749.61

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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.