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Finding the Fourth Proportional to 21,978.12, 32,972.94 and 6,397.32

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Solution

The fourth proportional to 21,978.12, 32,972.94 and 6,397.32 is: 9,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.12 : 32,972.94 = 6,397.32 : x
  2. Step 2: Convert to fraction form
    21,978.12/32,972.94 = 6,397.32/x
  3. Step 3: Cross multiply
    21,978.12x = 32,972.94 × 6,397.32
  4. Step 4: Simplify right side
    21,978.12x = 210,938,448.52
  5. Step 5: Solve for x
    x = 210,938,448.52/21,978.12
  6. Step 6: Final answer
    x = 9,597.66

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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.