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Finding the Fourth Proportional to 21,472.94, 32,204.55 and 9,789.50

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Solution

The fourth proportional to 21,472.94, 32,204.55 and 9,789.50 is: 14,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.94 : 32,204.55 = 9,789.50 : x
  2. Step 2: Convert to fraction form
    21,472.94/32,204.55 = 9,789.50/x
  3. Step 3: Cross multiply
    21,472.94x = 32,204.55 × 9,789.50
  4. Step 4: Simplify right side
    21,472.94x = 315,266,442.23
  5. Step 5: Solve for x
    x = 315,266,442.23/21,472.94
  6. Step 6: Final answer
    x = 14,682.03

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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.