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Finding the Fourth Proportional to 6,328.92, 8,734.70 and 3,812.34

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Solution

The fourth proportional to 6,328.92, 8,734.70 and 3,812.34 is: 5,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.92 : 8,734.70 = 3,812.34 : x
  2. Step 2: Convert to fraction form
    6,328.92/8,734.70 = 3,812.34/x
  3. Step 3: Cross multiply
    6,328.92x = 8,734.70 × 3,812.34
  4. Step 4: Simplify right side
    6,328.92x = 33,299,646.20
  5. Step 5: Solve for x
    x = 33,299,646.20/6,328.92
  6. Step 6: Final answer
    x = 5,261.51

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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.