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Finding the Fourth Proportional to 8,329.74, 12,406.20 and 8,289.51

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Solution

The fourth proportional to 8,329.74, 12,406.20 and 8,289.51 is: 12,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.74 : 12,406.20 = 8,289.51 : x
  2. Step 2: Convert to fraction form
    8,329.74/12,406.20 = 8,289.51/x
  3. Step 3: Cross multiply
    8,329.74x = 12,406.20 × 8,289.51
  4. Step 4: Simplify right side
    8,329.74x = 102,841,318.96
  5. Step 5: Solve for x
    x = 102,841,318.96/8,329.74
  6. Step 6: Final answer
    x = 12,346.28

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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.