Home / 2,042.30-3,065.88-1,609.76

Finding the Fourth Proportional to 2,042.30, 3,065.88 and 1,609.76

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Solution

The fourth proportional to 2,042.30, 3,065.88 and 1,609.76 is: 2,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.30 : 3,065.88 = 1,609.76 : x
  2. Step 2: Convert to fraction form
    2,042.30/3,065.88 = 1,609.76/x
  3. Step 3: Cross multiply
    2,042.30x = 3,065.88 × 1,609.76
  4. Step 4: Simplify right side
    2,042.30x = 4,935,330.99
  5. Step 5: Solve for x
    x = 4,935,330.99/2,042.30
  6. Step 6: Final answer
    x = 2,416.56

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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.