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Finding the Fourth Proportional to 21,673.44, 32,493.42 and 9,972.72

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Solution

The fourth proportional to 21,673.44, 32,493.42 and 9,972.72 is: 14,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.44 : 32,493.42 = 9,972.72 : x
  2. Step 2: Convert to fraction form
    21,673.44/32,493.42 = 9,972.72/x
  3. Step 3: Cross multiply
    21,673.44x = 32,493.42 × 9,972.72
  4. Step 4: Simplify right side
    21,673.44x = 324,047,779.50
  5. Step 5: Solve for x
    x = 324,047,779.50/21,673.44
  6. Step 6: Final answer
    x = 14,951.38

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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.