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Finding the Fourth Proportional to 21,438, 32,141.16 and 8,108.64

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Solution

The fourth proportional to 21,438, 32,141.16 and 8,108.64 is: 12,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 32,141.16 = 8,108.64 : x
  2. Step 2: Convert to fraction form
    21,438/32,141.16 = 8,108.64/x
  3. Step 3: Cross multiply
    21,438x = 32,141.16 × 8,108.64
  4. Step 4: Simplify right side
    21,438x = 260,621,095.62
  5. Step 5: Solve for x
    x = 260,621,095.62/21,438
  6. Step 6: Final answer
    x = 12,156.97

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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.