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Finding the Fourth Proportional to 13,019.64, 19,530 and 3,785.64

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Solution

The fourth proportional to 13,019.64, 19,530 and 3,785.64 is: 5,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.64 : 19,530 = 3,785.64 : x
  2. Step 2: Convert to fraction form
    13,019.64/19,530 = 3,785.64/x
  3. Step 3: Cross multiply
    13,019.64x = 19,530 × 3,785.64
  4. Step 4: Simplify right side
    13,019.64x = 73,933,549.20
  5. Step 5: Solve for x
    x = 73,933,549.20/13,019.64
  6. Step 6: Final answer
    x = 5,678.62

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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.