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Finding the Fourth Proportional to 17,280, 25,920 and 6,338.56

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Solution

The fourth proportional to 17,280, 25,920 and 6,338.56 is: 9,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 25,920 = 6,338.56 : x
  2. Step 2: Convert to fraction form
    17,280/25,920 = 6,338.56/x
  3. Step 3: Cross multiply
    17,280x = 25,920 × 6,338.56
  4. Step 4: Simplify right side
    17,280x = 164,295,475.20
  5. Step 5: Solve for x
    x = 164,295,475.20/17,280
  6. Step 6: Final answer
    x = 9,507.84

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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.