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Finding the Fourth Proportional to 9,829, 13,564.02 and 5,413

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Solution

The fourth proportional to 9,829, 13,564.02 and 5,413 is: 7,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829 : 13,564.02 = 5,413 : x
  2. Step 2: Convert to fraction form
    9,829/13,564.02 = 5,413/x
  3. Step 3: Cross multiply
    9,829x = 13,564.02 × 5,413
  4. Step 4: Simplify right side
    9,829x = 73,422,040.26
  5. Step 5: Solve for x
    x = 73,422,040.26/9,829
  6. Step 6: Final answer
    x = 7,469.94

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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.