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Finding the Fourth Proportional to 8,768.24, 13,122.48 and 6,829.28

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Solution

The fourth proportional to 8,768.24, 13,122.48 and 6,829.28 is: 10,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.24 : 13,122.48 = 6,829.28 : x
  2. Step 2: Convert to fraction form
    8,768.24/13,122.48 = 6,829.28/x
  3. Step 3: Cross multiply
    8,768.24x = 13,122.48 × 6,829.28
  4. Step 4: Simplify right side
    8,768.24x = 89,617,090.21
  5. Step 5: Solve for x
    x = 89,617,090.21/8,768.24
  6. Step 6: Final answer
    x = 10,220.65

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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.