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Finding the Fourth Proportional to 21,978.34, 32,970.75 and 6,393.94

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Solution

The fourth proportional to 21,978.34, 32,970.75 and 6,393.94 is: 9,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.34 : 32,970.75 = 6,393.94 : x
  2. Step 2: Convert to fraction form
    21,978.34/32,970.75 = 6,393.94/x
  3. Step 3: Cross multiply
    21,978.34x = 32,970.75 × 6,393.94
  4. Step 4: Simplify right side
    21,978.34x = 210,812,997.26
  5. Step 5: Solve for x
    x = 210,812,997.26/21,978.34
  6. Step 6: Final answer
    x = 9,591.85

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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.