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Finding the Fourth Proportional to 21,984.89, 32,978.25 and 6,402.51

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Solution

The fourth proportional to 21,984.89, 32,978.25 and 6,402.51 is: 9,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.89 : 32,978.25 = 6,402.51 : x
  2. Step 2: Convert to fraction form
    21,984.89/32,978.25 = 6,402.51/x
  3. Step 3: Cross multiply
    21,984.89x = 32,978.25 × 6,402.51
  4. Step 4: Simplify right side
    21,984.89x = 211,143,575.41
  5. Step 5: Solve for x
    x = 211,143,575.41/21,984.89
  6. Step 6: Final answer
    x = 9,604.03

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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.