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Finding the Fourth Proportional to 7,236.84, 9,975.84 and 5,662.20

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Solution

The fourth proportional to 7,236.84, 9,975.84 and 5,662.20 is: 7,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.84 : 9,975.84 = 5,662.20 : x
  2. Step 2: Convert to fraction form
    7,236.84/9,975.84 = 5,662.20/x
  3. Step 3: Cross multiply
    7,236.84x = 9,975.84 × 5,662.20
  4. Step 4: Simplify right side
    7,236.84x = 56,485,201.25
  5. Step 5: Solve for x
    x = 56,485,201.25/7,236.84
  6. Step 6: Final answer
    x = 7,805.23

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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.