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Finding the Fourth Proportional to 9,828, 13,562.64 and 5,412

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Solution

The fourth proportional to 9,828, 13,562.64 and 5,412 is: 7,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 13,562.64 = 5,412 : x
  2. Step 2: Convert to fraction form
    9,828/13,562.64 = 5,412/x
  3. Step 3: Cross multiply
    9,828x = 13,562.64 × 5,412
  4. Step 4: Simplify right side
    9,828x = 73,401,007.68
  5. Step 5: Solve for x
    x = 73,401,007.68/9,828
  6. Step 6: Final answer
    x = 7,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.