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Finding the Fourth Proportional to 4,608, 6,359.58 and 2,745

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Solution

The fourth proportional to 4,608, 6,359.58 and 2,745 is: 3,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608 : 6,359.58 = 2,745 : x
  2. Step 2: Convert to fraction form
    4,608/6,359.58 = 2,745/x
  3. Step 3: Cross multiply
    4,608x = 6,359.58 × 2,745
  4. Step 4: Simplify right side
    4,608x = 17,457,047.10
  5. Step 5: Solve for x
    x = 17,457,047.10/4,608
  6. Step 6: Final answer
    x = 3,788.42

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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.