Home / 2,046.81-3,071.30-1,605.36

Finding the Fourth Proportional to 2,046.81, 3,071.30 and 1,605.36

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Solution

The fourth proportional to 2,046.81, 3,071.30 and 1,605.36 is: 2,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.81 : 3,071.30 = 1,605.36 : x
  2. Step 2: Convert to fraction form
    2,046.81/3,071.30 = 1,605.36/x
  3. Step 3: Cross multiply
    2,046.81x = 3,071.30 × 1,605.36
  4. Step 4: Simplify right side
    2,046.81x = 4,930,534.14
  5. Step 5: Solve for x
    x = 4,930,534.14/2,046.81
  6. Step 6: Final answer
    x = 2,408.89

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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.