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Finding the Fourth Proportional to 21,850, 32,775.12 and 5,434

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Solution

The fourth proportional to 21,850, 32,775.12 and 5,434 is: 8,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850 : 32,775.12 = 5,434 : x
  2. Step 2: Convert to fraction form
    21,850/32,775.12 = 5,434/x
  3. Step 3: Cross multiply
    21,850x = 32,775.12 × 5,434
  4. Step 4: Simplify right side
    21,850x = 178,100,002.08
  5. Step 5: Solve for x
    x = 178,100,002.08/21,850
  6. Step 6: Final answer
    x = 8,151.03

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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.