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Finding the Fourth Proportional to 7,527.82, 10,388.78 and 4,171

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Solution

The fourth proportional to 7,527.82, 10,388.78 and 4,171 is: 5,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.82 : 10,388.78 = 4,171 : x
  2. Step 2: Convert to fraction form
    7,527.82/10,388.78 = 4,171/x
  3. Step 3: Cross multiply
    7,527.82x = 10,388.78 × 4,171
  4. Step 4: Simplify right side
    7,527.82x = 43,331,601.38
  5. Step 5: Solve for x
    x = 43,331,601.38/7,527.82
  6. Step 6: Final answer
    x = 5,756.20

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Double scale
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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.