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Finding the Fourth Proportional to 21,645.88, 32,470.50 and 6,855.64

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Solution

The fourth proportional to 21,645.88, 32,470.50 and 6,855.64 is: 10,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.88 : 32,470.50 = 6,855.64 : x
  2. Step 2: Convert to fraction form
    21,645.88/32,470.50 = 6,855.64/x
  3. Step 3: Cross multiply
    21,645.88x = 32,470.50 × 6,855.64
  4. Step 4: Simplify right side
    21,645.88x = 222,606,058.62
  5. Step 5: Solve for x
    x = 222,606,058.62/21,645.88
  6. Step 6: Final answer
    x = 10,283.99

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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.