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Finding the Fourth Proportional to 8,289.25, 11,448.89 and 5,489.89

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Solution

The fourth proportional to 8,289.25, 11,448.89 and 5,489.89 is: 7,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.25 : 11,448.89 = 5,489.89 : x
  2. Step 2: Convert to fraction form
    8,289.25/11,448.89 = 5,489.89/x
  3. Step 3: Cross multiply
    8,289.25x = 11,448.89 × 5,489.89
  4. Step 4: Simplify right side
    8,289.25x = 62,853,119.27
  5. Step 5: Solve for x
    x = 62,853,119.27/8,289.25
  6. Step 6: Final answer
    x = 7,582.49

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1.5x scale

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.