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Finding the Fourth Proportional to 6,816.30, 10,212.30 and 6,409.68

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Solution

The fourth proportional to 6,816.30, 10,212.30 and 6,409.68 is: 9,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.30 : 10,212.30 = 6,409.68 : x
  2. Step 2: Convert to fraction form
    6,816.30/10,212.30 = 6,409.68/x
  3. Step 3: Cross multiply
    6,816.30x = 10,212.30 × 6,409.68
  4. Step 4: Simplify right side
    6,816.30x = 65,457,575.06
  5. Step 5: Solve for x
    x = 65,457,575.06/6,816.30
  6. Step 6: Final answer
    x = 9,603.09

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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.