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Finding the Fourth Proportional to 21,567.78, 32,351.49 and 6,777

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Solution

The fourth proportional to 21,567.78, 32,351.49 and 6,777 is: 10,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.78 : 32,351.49 = 6,777 : x
  2. Step 2: Convert to fraction form
    21,567.78/32,351.49 = 6,777/x
  3. Step 3: Cross multiply
    21,567.78x = 32,351.49 × 6,777
  4. Step 4: Simplify right side
    21,567.78x = 219,246,047.73
  5. Step 5: Solve for x
    x = 219,246,047.73/21,567.78
  6. Step 6: Final answer
    x = 10,165.44

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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.