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Finding the Fourth Proportional to 6,865.66, 9,473.91 and 4,213.18

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Solution

The fourth proportional to 6,865.66, 9,473.91 and 4,213.18 is: 5,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.66 : 9,473.91 = 4,213.18 : x
  2. Step 2: Convert to fraction form
    6,865.66/9,473.91 = 4,213.18/x
  3. Step 3: Cross multiply
    6,865.66x = 9,473.91 × 4,213.18
  4. Step 4: Simplify right side
    6,865.66x = 39,915,288.13
  5. Step 5: Solve for x
    x = 39,915,288.13/6,865.66
  6. Step 6: Final answer
    x = 5,813.76

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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.