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Finding the Fourth Proportional to 8,293.86, 11,440.50 and 5,308.64

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Solution

The fourth proportional to 8,293.86, 11,440.50 and 5,308.64 is: 7,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.86 : 11,440.50 = 5,308.64 : x
  2. Step 2: Convert to fraction form
    8,293.86/11,440.50 = 5,308.64/x
  3. Step 3: Cross multiply
    8,293.86x = 11,440.50 × 5,308.64
  4. Step 4: Simplify right side
    8,293.86x = 60,733,495.92
  5. Step 5: Solve for x
    x = 60,733,495.92/8,293.86
  6. Step 6: Final answer
    x = 7,322.71

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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.