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Finding the Fourth Proportional to 6,698.72, 9,242.16 and 3,902.24

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Solution

The fourth proportional to 6,698.72, 9,242.16 and 3,902.24 is: 5,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.72 : 9,242.16 = 3,902.24 : x
  2. Step 2: Convert to fraction form
    6,698.72/9,242.16 = 3,902.24/x
  3. Step 3: Cross multiply
    6,698.72x = 9,242.16 × 3,902.24
  4. Step 4: Simplify right side
    6,698.72x = 36,065,126.44
  5. Step 5: Solve for x
    x = 36,065,126.44/6,698.72
  6. Step 6: Final answer
    x = 5,383.88

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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.