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Finding the Fourth Proportional to 8,241.92, 12,289.36 and 7,326.08

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Solution

The fourth proportional to 8,241.92, 12,289.36 and 7,326.08 is: 10,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.92 : 12,289.36 = 7,326.08 : x
  2. Step 2: Convert to fraction form
    8,241.92/12,289.36 = 7,326.08/x
  3. Step 3: Cross multiply
    8,241.92x = 12,289.36 × 7,326.08
  4. Step 4: Simplify right side
    8,241.92x = 90,032,834.51
  5. Step 5: Solve for x
    x = 90,032,834.51/8,241.92
  6. Step 6: Final answer
    x = 10,923.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.