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Finding the Fourth Proportional to 7,238.09, 9,984.12 and 6,396.09

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Solution

The fourth proportional to 7,238.09, 9,984.12 and 6,396.09 is: 8,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.09 : 9,984.12 = 6,396.09 : x
  2. Step 2: Convert to fraction form
    7,238.09/9,984.12 = 6,396.09/x
  3. Step 3: Cross multiply
    7,238.09x = 9,984.12 × 6,396.09
  4. Step 4: Simplify right side
    7,238.09x = 63,859,330.09
  5. Step 5: Solve for x
    x = 63,859,330.09/7,238.09
  6. Step 6: Final answer
    x = 8,822.68

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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.