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Finding the Fourth Proportional to 21,604.32, 32,388.66 and 6,804

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Solution

The fourth proportional to 21,604.32, 32,388.66 and 6,804 is: 10,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604.32 : 32,388.66 = 6,804 : x
  2. Step 2: Convert to fraction form
    21,604.32/32,388.66 = 6,804/x
  3. Step 3: Cross multiply
    21,604.32x = 32,388.66 × 6,804
  4. Step 4: Simplify right side
    21,604.32x = 220,372,442.64
  5. Step 5: Solve for x
    x = 220,372,442.64/21,604.32
  6. Step 6: Final answer
    x = 10,200.39

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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.