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Finding the Fourth Proportional to 7,239.20, 9,857.60 and 7,239.20

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Solution

The fourth proportional to 7,239.20, 9,857.60 and 7,239.20 is: 9,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.20 : 9,857.60 = 7,239.20 : x
  2. Step 2: Convert to fraction form
    7,239.20/9,857.60 = 7,239.20/x
  3. Step 3: Cross multiply
    7,239.20x = 9,857.60 × 7,239.20
  4. Step 4: Simplify right side
    7,239.20x = 71,361,137.92
  5. Step 5: Solve for x
    x = 71,361,137.92/7,239.20
  6. Step 6: Final answer
    x = 9,857.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.