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Finding the Fourth Proportional to 2,609.79, 3,602.12 and 1,676.67

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Solution

The fourth proportional to 2,609.79, 3,602.12 and 1,676.67 is: 2,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.79 : 3,602.12 = 1,676.67 : x
  2. Step 2: Convert to fraction form
    2,609.79/3,602.12 = 1,676.67/x
  3. Step 3: Cross multiply
    2,609.79x = 3,602.12 × 1,676.67
  4. Step 4: Simplify right side
    2,609.79x = 6,039,558.16
  5. Step 5: Solve for x
    x = 6,039,558.16/2,609.79
  6. Step 6: Final answer
    x = 2,314.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.