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Finding the Fourth Proportional to 21,572.78, 32,359.14 and 6,782.98

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Solution

The fourth proportional to 21,572.78, 32,359.14 and 6,782.98 is: 10,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.78 : 32,359.14 = 6,782.98 : x
  2. Step 2: Convert to fraction form
    21,572.78/32,359.14 = 6,782.98/x
  3. Step 3: Cross multiply
    21,572.78x = 32,359.14 × 6,782.98
  4. Step 4: Simplify right side
    21,572.78x = 219,491,399.44
  5. Step 5: Solve for x
    x = 219,491,399.44/21,572.78
  6. Step 6: Final answer
    x = 10,174.46

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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.