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Finding the Fourth Proportional to 6,638.92, 9,958.50 and 1,708.66

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Solution

The fourth proportional to 6,638.92, 9,958.50 and 1,708.66 is: 2,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.92 : 9,958.50 = 1,708.66 : x
  2. Step 2: Convert to fraction form
    6,638.92/9,958.50 = 1,708.66/x
  3. Step 3: Cross multiply
    6,638.92x = 9,958.50 × 1,708.66
  4. Step 4: Simplify right side
    6,638.92x = 17,015,690.61
  5. Step 5: Solve for x
    x = 17,015,690.61/6,638.92
  6. Step 6: Final answer
    x = 2,563.02

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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.