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Finding the Fourth Proportional to 6,874.69, 9,487.10 and 4,222.07

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Solution

The fourth proportional to 6,874.69, 9,487.10 and 4,222.07 is: 5,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.69 : 9,487.10 = 4,222.07 : x
  2. Step 2: Convert to fraction form
    6,874.69/9,487.10 = 4,222.07/x
  3. Step 3: Cross multiply
    6,874.69x = 9,487.10 × 4,222.07
  4. Step 4: Simplify right side
    6,874.69x = 40,055,202.90
  5. Step 5: Solve for x
    x = 40,055,202.90/6,874.69
  6. Step 6: Final answer
    x = 5,826.48

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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.