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Finding the Fourth Proportional to 21,442.88, 32,138.32 and 9,744.32

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Solution

The fourth proportional to 21,442.88, 32,138.32 and 9,744.32 is: 14,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.88 : 32,138.32 = 9,744.32 : x
  2. Step 2: Convert to fraction form
    21,442.88/32,138.32 = 9,744.32/x
  3. Step 3: Cross multiply
    21,442.88x = 32,138.32 × 9,744.32
  4. Step 4: Simplify right side
    21,442.88x = 313,166,074.34
  5. Step 5: Solve for x
    x = 313,166,074.34/21,442.88
  6. Step 6: Final answer
    x = 14,604.66

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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.