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Finding the Fourth Proportional to 8,202.78, 11,320.86 and 4,666.86

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Solution

The fourth proportional to 8,202.78, 11,320.86 and 4,666.86 is: 6,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.78 : 11,320.86 = 4,666.86 : x
  2. Step 2: Convert to fraction form
    8,202.78/11,320.86 = 4,666.86/x
  3. Step 3: Cross multiply
    8,202.78x = 11,320.86 × 4,666.86
  4. Step 4: Simplify right side
    8,202.78x = 52,832,868.70
  5. Step 5: Solve for x
    x = 52,832,868.70/8,202.78
  6. Step 6: Final answer
    x = 6,440.85

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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.