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Finding the Fourth Proportional to 21,982, 32,973.06 and 6,400

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Solution

The fourth proportional to 21,982, 32,973.06 and 6,400 is: 9,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 32,973.06 = 6,400 : x
  2. Step 2: Convert to fraction form
    21,982/32,973.06 = 6,400/x
  3. Step 3: Cross multiply
    21,982x = 32,973.06 × 6,400
  4. Step 4: Simplify right side
    21,982x = 211,027,584
  5. Step 5: Solve for x
    x = 211,027,584/21,982
  6. Step 6: Final answer
    x = 9,600.02

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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.