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Finding the Fourth Proportional to 2,709.49, 4,065.24 and 1,657.46

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Solution

The fourth proportional to 2,709.49, 4,065.24 and 1,657.46 is: 2,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.49 : 4,065.24 = 1,657.46 : x
  2. Step 2: Convert to fraction form
    2,709.49/4,065.24 = 1,657.46/x
  3. Step 3: Cross multiply
    2,709.49x = 4,065.24 × 1,657.46
  4. Step 4: Simplify right side
    2,709.49x = 6,737,982.85
  5. Step 5: Solve for x
    x = 6,737,982.85/2,709.49
  6. Step 6: Final answer
    x = 2,486.81

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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.