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Finding the Fourth Proportional to 9,829.89, 13,565.48 and 5,353.89

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Solution

The fourth proportional to 9,829.89, 13,565.48 and 5,353.89 is: 7,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.89 : 13,565.48 = 5,353.89 : x
  2. Step 2: Convert to fraction form
    9,829.89/13,565.48 = 5,353.89/x
  3. Step 3: Cross multiply
    9,829.89x = 13,565.48 × 5,353.89
  4. Step 4: Simplify right side
    9,829.89x = 72,628,087.72
  5. Step 5: Solve for x
    x = 72,628,087.72/9,829.89
  6. Step 6: Final answer
    x = 7,388.49

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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.