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Finding the Fourth Proportional to 21,858.12, 32,788.98 and 7,069.41

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Solution

The fourth proportional to 21,858.12, 32,788.98 and 7,069.41 is: 10,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.12 : 32,788.98 = 7,069.41 : x
  2. Step 2: Convert to fraction form
    21,858.12/32,788.98 = 7,069.41/x
  3. Step 3: Cross multiply
    21,858.12x = 32,788.98 × 7,069.41
  4. Step 4: Simplify right side
    21,858.12x = 231,798,743.10
  5. Step 5: Solve for x
    x = 231,798,743.10/21,858.12
  6. Step 6: Final answer
    x = 10,604.70

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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.