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Finding the Fourth Proportional to 5,205.69, 7,169.22 and 4,872.17

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Solution

The fourth proportional to 5,205.69, 7,169.22 and 4,872.17 is: 6,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.69 : 7,169.22 = 4,872.17 : x
  2. Step 2: Convert to fraction form
    5,205.69/7,169.22 = 4,872.17/x
  3. Step 3: Cross multiply
    5,205.69x = 7,169.22 × 4,872.17
  4. Step 4: Simplify right side
    5,205.69x = 34,929,622.76
  5. Step 5: Solve for x
    x = 34,929,622.76/5,205.69
  6. Step 6: Final answer
    x = 6,709.89

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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.