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Finding the Fourth Proportional to 2,608, 3,598.48 and 1,546.10

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Solution

The fourth proportional to 2,608, 3,598.48 and 1,546.10 is: 2,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608 : 3,598.48 = 1,546.10 : x
  2. Step 2: Convert to fraction form
    2,608/3,598.48 = 1,546.10/x
  3. Step 3: Cross multiply
    2,608x = 3,598.48 × 1,546.10
  4. Step 4: Simplify right side
    2,608x = 5,563,609.93
  5. Step 5: Solve for x
    x = 5,563,609.93/2,608
  6. Step 6: Final answer
    x = 2,133.29

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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.