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Finding the Fourth Proportional to 8,235.42, 11,288.64 and 8,124.66

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Solution

The fourth proportional to 8,235.42, 11,288.64 and 8,124.66 is: 11,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.42 : 11,288.64 = 8,124.66 : x
  2. Step 2: Convert to fraction form
    8,235.42/11,288.64 = 8,124.66/x
  3. Step 3: Cross multiply
    8,235.42x = 11,288.64 × 8,124.66
  4. Step 4: Simplify right side
    8,235.42x = 91,716,361.86
  5. Step 5: Solve for x
    x = 91,716,361.86/8,235.42
  6. Step 6: Final answer
    x = 11,136.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.