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Finding the Fourth Proportional to 21,843.56, 32,762.16 and 10,747.28

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Solution

The fourth proportional to 21,843.56, 32,762.16 and 10,747.28 is: 16,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.56 : 32,762.16 = 10,747.28 : x
  2. Step 2: Convert to fraction form
    21,843.56/32,762.16 = 10,747.28/x
  3. Step 3: Cross multiply
    21,843.56x = 32,762.16 × 10,747.28
  4. Step 4: Simplify right side
    21,843.56x = 352,103,943.11
  5. Step 5: Solve for x
    x = 352,103,943.11/21,843.56
  6. Step 6: Final answer
    x = 16,119.35

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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.