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Finding the Fourth Proportional to 21,978.97, 32,967.99 and 5,339.08

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Solution

The fourth proportional to 21,978.97, 32,967.99 and 5,339.08 is: 8,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.97 : 32,967.99 = 5,339.08 : x
  2. Step 2: Convert to fraction form
    21,978.97/32,967.99 = 5,339.08/x
  3. Step 3: Cross multiply
    21,978.97x = 32,967.99 × 5,339.08
  4. Step 4: Simplify right side
    21,978.97x = 176,018,736.05
  5. Step 5: Solve for x
    x = 176,018,736.05/21,978.97
  6. Step 6: Final answer
    x = 8,008.51

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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.