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Finding the Fourth Proportional to 3,300.67, 4,953.74 and 1,657.69

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Solution

The fourth proportional to 3,300.67, 4,953.74 and 1,657.69 is: 2,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.67 : 4,953.74 = 1,657.69 : x
  2. Step 2: Convert to fraction form
    3,300.67/4,953.74 = 1,657.69/x
  3. Step 3: Cross multiply
    3,300.67x = 4,953.74 × 1,657.69
  4. Step 4: Simplify right side
    3,300.67x = 8,211,740.49
  5. Step 5: Solve for x
    x = 8,211,740.49/3,300.67
  6. Step 6: Final answer
    x = 2,487.90

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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.