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Finding the Fourth Proportional to 2,698.76, 4,052.76 and 1,609.94

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Solution

The fourth proportional to 2,698.76, 4,052.76 and 1,609.94 is: 2,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.76 : 4,052.76 = 1,609.94 : x
  2. Step 2: Convert to fraction form
    2,698.76/4,052.76 = 1,609.94/x
  3. Step 3: Cross multiply
    2,698.76x = 4,052.76 × 1,609.94
  4. Step 4: Simplify right side
    2,698.76x = 6,524,700.43
  5. Step 5: Solve for x
    x = 6,524,700.43/2,698.76
  6. Step 6: Final answer
    x = 2,417.67

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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.