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Finding the Fourth Proportional to 3,189, 4,785.42 and 1,365

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Solution

The fourth proportional to 3,189, 4,785.42 and 1,365 is: 2,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,785.42 = 1,365 : x
  2. Step 2: Convert to fraction form
    3,189/4,785.42 = 1,365/x
  3. Step 3: Cross multiply
    3,189x = 4,785.42 × 1,365
  4. Step 4: Simplify right side
    3,189x = 6,532,098.30
  5. Step 5: Solve for x
    x = 6,532,098.30/3,189
  6. Step 6: Final answer
    x = 2,048.32

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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.