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Finding the Fourth Proportional to 21,718, 32,577.14 and 6,135.76

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Solution

The fourth proportional to 21,718, 32,577.14 and 6,135.76 is: 9,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718 : 32,577.14 = 6,135.76 : x
  2. Step 2: Convert to fraction form
    21,718/32,577.14 = 6,135.76/x
  3. Step 3: Cross multiply
    21,718x = 32,577.14 × 6,135.76
  4. Step 4: Simplify right side
    21,718x = 199,885,481.85
  5. Step 5: Solve for x
    x = 199,885,481.85/21,718
  6. Step 6: Final answer
    x = 9,203.68

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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.