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Finding the Fourth Proportional to 4,608, 6,912.08 and 1,686.29

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Solution

The fourth proportional to 4,608, 6,912.08 and 1,686.29 is: 2,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608 : 6,912.08 = 1,686.29 : x
  2. Step 2: Convert to fraction form
    4,608/6,912.08 = 1,686.29/x
  3. Step 3: Cross multiply
    4,608x = 6,912.08 × 1,686.29
  4. Step 4: Simplify right side
    4,608x = 11,655,728.39
  5. Step 5: Solve for x
    x = 11,655,728.39/4,608
  6. Step 6: Final answer
    x = 2,529.45

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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.