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Finding the Fourth Proportional to 18,513.81, 27,735.84 and 9,142.86

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Solution

The fourth proportional to 18,513.81, 27,735.84 and 9,142.86 is: 13,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.81 : 27,735.84 = 9,142.86 : x
  2. Step 2: Convert to fraction form
    18,513.81/27,735.84 = 9,142.86/x
  3. Step 3: Cross multiply
    18,513.81x = 27,735.84 × 9,142.86
  4. Step 4: Simplify right side
    18,513.81x = 253,584,902.10
  5. Step 5: Solve for x
    x = 253,584,902.10/18,513.81
  6. Step 6: Final answer
    x = 13,697.07

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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.