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Finding the Fourth Proportional to 18,516.70, 27,762.72 and 10,200.64

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Solution

The fourth proportional to 18,516.70, 27,762.72 and 10,200.64 is: 15,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516.70 : 27,762.72 = 10,200.64 : x
  2. Step 2: Convert to fraction form
    18,516.70/27,762.72 = 10,200.64/x
  3. Step 3: Cross multiply
    18,516.70x = 27,762.72 × 10,200.64
  4. Step 4: Simplify right side
    18,516.70x = 283,197,512.14
  5. Step 5: Solve for x
    x = 283,197,512.14/18,516.70
  6. Step 6: Final answer
    x = 15,294.17

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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.