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Finding the Fourth Proportional to 21,988, 32,978.16 and 8,133.28

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Solution

The fourth proportional to 21,988, 32,978.16 and 8,133.28 is: 12,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988 : 32,978.16 = 8,133.28 : x
  2. Step 2: Convert to fraction form
    21,988/32,978.16 = 8,133.28/x
  3. Step 3: Cross multiply
    21,988x = 32,978.16 × 8,133.28
  4. Step 4: Simplify right side
    21,988x = 268,220,609.16
  5. Step 5: Solve for x
    x = 268,220,609.16/21,988
  6. Step 6: Final answer
    x = 12,198.50

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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.