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Finding the Fourth Proportional to 8,272.46, 11,419 and 5,478.86

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Solution

The fourth proportional to 8,272.46, 11,419 and 5,478.86 is: 7,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.46 : 11,419 = 5,478.86 : x
  2. Step 2: Convert to fraction form
    8,272.46/11,419 = 5,478.86/x
  3. Step 3: Cross multiply
    8,272.46x = 11,419 × 5,478.86
  4. Step 4: Simplify right side
    8,272.46x = 62,563,102.34
  5. Step 5: Solve for x
    x = 62,563,102.34/8,272.46
  6. Step 6: Final answer
    x = 7,562.82

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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.