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Finding the Fourth Proportional to 4,652, 6,419.76 and 2,789.36

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Solution

The fourth proportional to 4,652, 6,419.76 and 2,789.36 is: 3,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 6,419.76 = 2,789.36 : x
  2. Step 2: Convert to fraction form
    4,652/6,419.76 = 2,789.36/x
  3. Step 3: Cross multiply
    4,652x = 6,419.76 × 2,789.36
  4. Step 4: Simplify right side
    4,652x = 17,907,021.75
  5. Step 5: Solve for x
    x = 17,907,021.75/4,652
  6. Step 6: Final answer
    x = 3,849.32

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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.