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Finding the Fourth Proportional to 6,812.92, 10,209.78 and 5,420.06

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Solution

The fourth proportional to 6,812.92, 10,209.78 and 5,420.06 is: 8,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.92 : 10,209.78 = 5,420.06 : x
  2. Step 2: Convert to fraction form
    6,812.92/10,209.78 = 5,420.06/x
  3. Step 3: Cross multiply
    6,812.92x = 10,209.78 × 5,420.06
  4. Step 4: Simplify right side
    6,812.92x = 55,337,569.14
  5. Step 5: Solve for x
    x = 55,337,569.14/6,812.92
  6. Step 6: Final answer
    x = 8,122.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.