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Finding the Fourth Proportional to 6,861.65, 9,469.52 and 4,208.70

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Solution

The fourth proportional to 6,861.65, 9,469.52 and 4,208.70 is: 5,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.65 : 9,469.52 = 4,208.70 : x
  2. Step 2: Convert to fraction form
    6,861.65/9,469.52 = 4,208.70/x
  3. Step 3: Cross multiply
    6,861.65x = 9,469.52 × 4,208.70
  4. Step 4: Simplify right side
    6,861.65x = 39,854,347.78
  5. Step 5: Solve for x
    x = 39,854,347.78/6,861.65
  6. Step 6: Final answer
    x = 5,808.28

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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.