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Finding the Fourth Proportional to 21,794.82, 32,650.99 and 12,883.47

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Solution

The fourth proportional to 21,794.82, 32,650.99 and 12,883.47 is: 19,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.82 : 32,650.99 = 12,883.47 : x
  2. Step 2: Convert to fraction form
    21,794.82/32,650.99 = 12,883.47/x
  3. Step 3: Cross multiply
    21,794.82x = 32,650.99 × 12,883.47
  4. Step 4: Simplify right side
    21,794.82x = 420,657,985.72
  5. Step 5: Solve for x
    x = 420,657,985.72/21,794.82
  6. Step 6: Final answer
    x = 19,300.82

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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.