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Finding the Fourth Proportional to 9,015.54, 13,542.81 and 7,631.64

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Solution

The fourth proportional to 9,015.54, 13,542.81 and 7,631.64 is: 11,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.54 : 13,542.81 = 7,631.64 : x
  2. Step 2: Convert to fraction form
    9,015.54/13,542.81 = 7,631.64/x
  3. Step 3: Cross multiply
    9,015.54x = 13,542.81 × 7,631.64
  4. Step 4: Simplify right side
    9,015.54x = 103,353,850.51
  5. Step 5: Solve for x
    x = 103,353,850.51/9,015.54
  6. Step 6: Final answer
    x = 11,463.97

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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.