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Finding the Fourth Proportional to 21,774.36, 32,664.40 and 6,978.36

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Solution

The fourth proportional to 21,774.36, 32,664.40 and 6,978.36 is: 10,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.36 : 32,664.40 = 6,978.36 : x
  2. Step 2: Convert to fraction form
    21,774.36/32,664.40 = 6,978.36/x
  3. Step 3: Cross multiply
    21,774.36x = 32,664.40 × 6,978.36
  4. Step 4: Simplify right side
    21,774.36x = 227,943,942.38
  5. Step 5: Solve for x
    x = 227,943,942.38/21,774.36
  6. Step 6: Final answer
    x = 10,468.46

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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.