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Finding the Fourth Proportional to 21,808, 32,712.32 and 5,392

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Solution

The fourth proportional to 21,808, 32,712.32 and 5,392 is: 8,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808 : 32,712.32 = 5,392 : x
  2. Step 2: Convert to fraction form
    21,808/32,712.32 = 5,392/x
  3. Step 3: Cross multiply
    21,808x = 32,712.32 × 5,392
  4. Step 4: Simplify right side
    21,808x = 176,384,829.44
  5. Step 5: Solve for x
    x = 176,384,829.44/21,808
  6. Step 6: Final answer
    x = 8,088.08

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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.