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Finding the Fourth Proportional to 17,860.22, 26,778.51 and 7,985.90

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Solution

The fourth proportional to 17,860.22, 26,778.51 and 7,985.90 is: 11,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.22 : 26,778.51 = 7,985.90 : x
  2. Step 2: Convert to fraction form
    17,860.22/26,778.51 = 7,985.90/x
  3. Step 3: Cross multiply
    17,860.22x = 26,778.51 × 7,985.90
  4. Step 4: Simplify right side
    17,860.22x = 213,850,503.01
  5. Step 5: Solve for x
    x = 213,850,503.01/17,860.22
  6. Step 6: Final answer
    x = 11,973.56

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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.