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Finding the Fourth Proportional to 21,937, 32,908.92 and 7,142.43

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Solution

The fourth proportional to 21,937, 32,908.92 and 7,142.43 is: 10,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937 : 32,908.92 = 7,142.43 : x
  2. Step 2: Convert to fraction form
    21,937/32,908.92 = 7,142.43/x
  3. Step 3: Cross multiply
    21,937x = 32,908.92 × 7,142.43
  4. Step 4: Simplify right side
    21,937x = 235,049,657.48
  5. Step 5: Solve for x
    x = 235,049,657.48/21,937
  6. Step 6: Final answer
    x = 10,714.76

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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.