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Finding the Fourth Proportional to 21,472.44, 32,203.80 and 9,789

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Solution

The fourth proportional to 21,472.44, 32,203.80 and 9,789 is: 14,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.44 : 32,203.80 = 9,789 : x
  2. Step 2: Convert to fraction form
    21,472.44/32,203.80 = 9,789/x
  3. Step 3: Cross multiply
    21,472.44x = 32,203.80 × 9,789
  4. Step 4: Simplify right side
    21,472.44x = 315,242,998.20
  5. Step 5: Solve for x
    x = 315,242,998.20/21,472.44
  6. Step 6: Final answer
    x = 14,681.28

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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.